License and History#
Footnotes
J. Abate and P. Valko. Multi-precision laplace transform inversion. International Journal for Numerical Methods in Engineering, 60:979–993, 2004.
M. Abramowitz and I.A. Stegun. Confluent Hypergeometric Functions. in Handbook of Mathematical Functions, New York: Dekker, 1970. Available as https://personal.math.ubc.ca/ cbm/aands/page_503.htm.
M. Abramowitz and I.A. Stegun. F-(Variance-Ratio) Distribution Function. in Handbook of Mathematical Functions, New York: Dekker, 1970. Available as https://personal.math.ubc.ca/ cbm/aands/page_946.htm.
M. Abramowitz and I.A. Stegun. Handbook of Mathematical Functions. New York: Dekker, 1970. Available as https://archive.org/details/AandS-mono600/mode/2up.
Karsten Ahnert and Mario Mulansky. Boost odeint library. http://www.boost.org/libs/odeint/, June 2013. Documentation available as http://www.boost.org/doc/libs/1_54_0/libs/numeric/odeint/doc/html/index.html.
M. Akahira, M. Sato, and N. Torigoe. On the new approximation to non-central t-distributions. J. Japan Statist. Soc, 25(1):1–18, 1995. Available at http://www.tulips.tsukuba.ac.jp/dspace/bitstream/2241/118436/1/JJSS_25-1.pdf.
A. Al-Babtain, A. M. Eid, and F. Merovci. The five parameter lindley distribution. Pakistan Journal of Statistics, 31(4):363–384, 2014.
G. E. Alefeld, F. A. Potra, and Y. Shi. Algorithm 748: enclosing zeros of continuous functions. ACM Transactions on Mathematical Software, 21(3):327–344, 1995.
T. W. Anderson. An Introduction to Multivariate Statistical Analysis. John Wiley & Sons, Inc., 3 edition, 2003.
S. András and Á. Baricz. Properties of the probability density function of the non-central chi-squared distribution. Journal of Mathematical Analysis and Applications, 346(2):395 – 402, 2008. Available at http://www.sciencedirect.com/science/article/pii/S0022247X08005696. doi:http://dx.doi.org/10.1016/j.jmaa.2008.05.074.
T. M. Apostol. On the lerch zeta function. Pacific Journal of Mathematics, 1(2):161–167, 1951. Available as https://pdfs.semanticscholar.org/3e70/b0ac7757934c92ea529e3c5fecb967281bab.pdf.
T. M. Apostol. Dirichlet L-functions - Definitions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/25.15.
T. M. Apostol. Lerch's Transcendent. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/25.14.
T. M. Apostol. Riemann-Siegel Formula. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/25.10#ii.
T. M. Apostol. Zeta function Zeros. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/25.10.
T.M. Apostol. Bose-Einstein distribution. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/25.12#iii.
T.M. Apostol. Dilogarithms. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/25.12#i.
T.M. Apostol. Hurwitz Zeta Function. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/25.11.
T.M. Apostol. Polylogarithms. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/25.12#ii.
T.M. Apostol. Riemann Zeta Function. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/25.2.
A.B.O. Askey, R. A.; Daalhuis. Generalized Hypergeometric Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/16.2.
R. Askey, R.A.; Roy. Barnes' G-Function (Double Gamma Function). NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/5.17.
R. Askey, R.A.; Roy. Beta Function. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/5.2.
R. Askey, R.A.; Roy. Gamma and Psi Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/5.2.
R. Askey, R.A.; Roy. Polygamma Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/5.15.
R. A. Askey and A.B.O. Daalhuis. Appell Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/16.13.
R. A. Askey and A.B.O. Daalhuis. Generalized Hypergeometric Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/16.2.
R. A. Askey and A.B.O. Daalhuis. Meijer G-function. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/16.17.
D.H. Bailey and J.M. Borwein. Effective bounds in euler-maclaurin-based quadrature. Applied Stochastic Models in Business in Industry, 35(1):4–49, 2018. Available as https://archive.org/details/AandS-mono600/mode/2up.
N. Balakrishnan and D. Kundi. Birnbaum-saunders distribution: a review of models, analysis, and applications. Applied Stochastic Models in Business in Industry, 35(1):4–49, 2018. Available as https://onlinelibrary.wiley.com/doi/full/10.1002/asmb.2348.
R. E. Bechhofer and C. W. Dunnett. Tables of percentage points of multivariate student T distributions. Selected Tables in Mathematical Statistics, 11, 1–371, 1988.
Becker. Pearson distribution system, version 1.2.2. r package "pearsonds". 2022. Documentation available as https://cran.r-project.org/web/packages/PearsonDS/PearsonDS.pdf.
R. Bellman, R.E. Kalaba, and J.A. Lockett. Numerical inversion of the Laplace transform: Applications to Biology, Economics, Engineering, and Physics. Elsevier, 1966.
B.M. Bennett. On the non-null distribution of WILCOXON's signed rank test. Metrika, 19:36–38, 1972. Available as https://archive.org/details/AandS-mono600/mode/2up.
Denise Benton and K. Krishnamoorthy. Computing discrete mixtures of continuous distributions: noncentral chisquare, noncentral t and the distribution of the square of the sample multiple correlation coefficient. Computational Statistics & Data Analysis, 14:249–267, 2003. Available as http://www.ucs.louisiana.edu/ kxk4695/CSDA-03.pdf.
A. Berkopec. Hyperquick algorithm for discrete hypergeometric distribution. Journal of Discrete Algorithms, 5:341–347, 2007.
S. Blinnikov and R. Moessner. Expansions for nearly gaussian distributions. Astronomy and Astrophysics Supplement, 130:193–205, 1998. Available as http://arxiv.org/abs/astro-ph/9711239.
P. Bourke. Chrysanthemum curve. Geometry, Surfaces, Curves, Polyhedra, 2001. [Online; last edited on January 2001; accessed 22-Dec-2024]. URL: http://paulbourke.net/geometry/chrysanthemum/.
P. Bourke. Tanh Spiral. Geometry, Surfaces, Curves, Polyhedra, 2001. [Online; last edited on January 2001; accessed 22-Dec-2024]. URL: https://paulbourke.net/geometry/spiral/.
G.E.P. Box. A general distribution theory for a class of likelihood criteria. Biometrika, 36:317–346, 1949.
R. Brent. Algorithms for Minimization without Derivatives. Prentice-Hall (Reprinted by Dover, 2002.), 1st edition, 1973.
R.P. Brent. An algorithm with guaranteed convergence for finding a zero of a function. The Computer Journal, 1971.
D.M. Bressoud. Set Partitions: Stirling Numbers. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov//26.8.
P. A. Bristow and H. Holin. Bracket and Solve Root. Boost Math Toolkit Library, 2013. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/roots_noderiv/bracket_solve.html.
P. A. Bristow and H. Holin. Cumulative Hazard Function. Boost Math Toolkit Library, 2013. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_74_0/libs/math/doc/html/math_toolkit/dist_ref/nmp.html#math_toolkit.dist_ref.nmp.chf.
P. A. Bristow and H. Holin. Double-exponential quadrature: exp_sinh. Boost Math Toolkit Library, 2013. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/double_exponential/de_exp_sinh.html.
P. A. Bristow and H. Holin. Double-exponential quadrature: sinh_sinh. Boost Math Toolkit Library, 2013. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html.
P. A. Bristow and H. Holin. Double-exponential quadrature: tanh_sinh. Boost Math Toolkit Library, 2013. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html.
P. A. Bristow and H. Holin. Fourier Integrals. Boost Math Toolkit Library, 2013. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/fourier_integrals.html.
P. A. Bristow and H. Holin. Gauss-Kronrod Quadrature. Boost Math Toolkit Library, 2013. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/gauss_kronrod.html.
P. A. Bristow and H. Holin. Gauss-Legendre quadrature. Boost Math Toolkit Library, 2013. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/roots_deriv.html.
P. A. Bristow and H. Holin. Hazard Function. Boost Math Toolkit Library, 2013. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_74_0/libs/math/doc/html/math_toolkit/dist_ref/nmp.html#math_toolkit.dist_ref.nmp.hazard.
P. A. Bristow and H. Holin. Locating Function Minima using Brent's algorithm. Boost Math Toolkit Library, 2013. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/roots_deriv.html.
P. A. Bristow and H. Holin. Root Finding With Derivatives: Newton-Raphson, Halley and Schröder. Boost Math Toolkit Library, 2013. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/roots_deriv.html.
P. A. Bristow and H. Holin. Trapezoidal Quadrature. Boost Math Toolkit Library, 2013. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/trapezoidal.html.
P. A. Bristow and H. Holin. Arcsine Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html.
P. A. Bristow and H. Holin. Beta Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/beta_dist.html.
P. A. Bristow and H. Holin. Cauchy-Lorentz Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html.
P. A. Bristow and H. Holin. Chi Squared Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html.
P. A. Bristow and H. Holin. Exponential Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/exp_dist.html.
P. A. Bristow and H. Holin. Extreme Value Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html.
P. A. Bristow and H. Holin. F Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/f_dist.html.
P. A. Bristow and H. Holin. Gamma (and Erlang) Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html.
P. A. Bristow and H. Holin. Inverse Gamma Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html.
P. A. Bristow and H. Holin. Inverse Gaussian (or Inverse Normal) Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html.
P. A. Bristow and H. Holin. Laplace Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html.
P. A. Bristow and H. Holin. Log Normal Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html.
P. A. Bristow and H. Holin. Logistic Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html.
P. A. Bristow and H. Holin. Noncentral Beta Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html.
P. A. Bristow and H. Holin. Noncentral Chi-Squared Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html.
P. A. Bristow and H. Holin. Noncentral F Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html.
P. A. Bristow and H. Holin. Noncentral T Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html.
P. A. Bristow and H. Holin. Normal (Gaussian) Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/normal_dist.html.
P. A. Bristow and H. Holin. Pareto Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/pareto.html.
P. A. Bristow and H. Holin. Students t Distribution. Boost Math Toolkit Library, 2014. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html.
P. A. Bristow and H. Holin. Bernoulli Distribution. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html.
P. A. Bristow and H. Holin. Binomial Distribution. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html.
P. A. Bristow and H. Holin. Derivative of the Incomplete Beta Function. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_gamma/igamma_inv.html.
P. A. Bristow and H. Holin. Error Function Inverses. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_beta/ibeta_function.html.
P. A. Bristow and H. Holin. Error Function erf and complement erfc. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html.
P. A. Bristow and H. Holin. Expm1. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/powers/expm1.html.
P. A. Bristow and H. Holin. Geometric Distribution. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html.
P. A. Bristow and H. Holin. Hyperexponential Distribution. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_74_0/libs/math/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html.
P. A. Bristow and H. Holin. Hypergeometric Distribution. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html.
P. A. Bristow and H. Holin. Incomplete Beta Functions. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_beta/ibeta_function.html.
P. A. Bristow and H. Holin. Incomplete Gamma Function Inverses. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_gamma/igamma_inv.html.
P. A. Bristow and H. Holin. Incomplete Gamma Functions. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_gamma/igamma.html.
P. A. Bristow and H. Holin. Inverse Chi Squared Distribution. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_74_0/libs/math/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html.
P. A. Bristow and H. Holin. Negative Binomial Distribution. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html.
P. A. Bristow and H. Holin. Poisson Distribution. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html.
P. A. Bristow and H. Holin. Rayleigh Distribution. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/rayleigh.html.
P. A. Bristow and H. Holin. Skew Normal Distribution. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_74_0/libs/math/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html.
P. A. Bristow and H. Holin. The Incomplete Beta Function Inverses. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_gamma/igamma.html.
P. A. Bristow and H. Holin. Triangular Distribution. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html.
P. A. Bristow and H. Holin. Uniform Distribution. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html.
P. A. Bristow and H. Holin. Weibull Distribution. Boost Math Toolkit Library, 2015. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html.
P. A. Bristow and H. Holin. Auxiliary function Powm1. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/powers/powm1.html.
P. A. Bristow and H. Holin. Auxiliary function Sqrt1pm1. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/powers/sqrt1pm1.html.
P. A. Bristow and H. Holin. Bernoulli Numbers. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/number_series/bernoulli_numbers.html.
P. A. Bristow and H. Holin. Bessel Functions of the First and Second Kinds. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/bessel/bessel_first.html.
P. A. Bristow and H. Holin. Beta. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_beta/beta_function.html.
P. A. Bristow and H. Holin. Binomial Coefficients. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/factorials/sf_binomial.html.
P. A. Bristow and H. Holin. Cbrt. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/powers/log1p.html.
P. A. Bristow and H. Holin. CosPi. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/powers/cos_pi.html.
P. A. Bristow and H. Holin. Factorial. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/factorials/sf_factorial.html.
P. A. Bristow and H. Holin. Falling Factorial. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/factorials/sf_falling_factorial.html.
P. A. Bristow and H. Holin. Gamma. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_gamma/tgamma.html.
P. A. Bristow and H. Holin. Gamma. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_gamma/lgamma.html.
P. A. Bristow and H. Holin. Hypergeometric 1F1. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html.
P. A. Bristow and H. Holin. Hypergeometric Function 0F1. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html.
P. A. Bristow and H. Holin. Hypergeometric pFq. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html.
P. A. Bristow and H. Holin. Lambert W function. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/lambert_w.html.
P. A. Bristow and H. Holin. Log1p. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/powers/log1p.html.
P. A. Bristow and H. Holin. Modified Bessel Functions of the First and Second Kinds. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/bessel/mbessel.html.
P. A. Bristow and H. Holin. Polygamma. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/lambert_w.html.
P. A. Bristow and H. Holin. Rising Factorial. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/factorials/sf_rising_factorial.html.
P. A. Bristow and H. Holin. SinPi. Boost Math Toolkit Library, 2016. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/powers/sin_pi.html.
P. A. Bristow and H. Holin. Airy Ai Function. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/airy/ai.html.
P. A. Bristow and H. Holin. Airy Bi Function. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/airy/bi.html.
P. A. Bristow and H. Holin. Chebyshev Polynomials. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_poly/chebyshev.html.
P. A. Bristow and H. Holin. Cyclic Hankel Functions. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/hankel/cyl_hankel.html.
P. A. Bristow and H. Holin. Derivatives of the Bessel Functions. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/bessel/bessel_derivatives.html.
P. A. Bristow and H. Holin. Digamma. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_gamma/digamma.html.
P. A. Bristow and H. Holin. Double Factorial. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/factorials/sf_double_factorial.html.
P. A. Bristow and H. Holin. Finding Zeros of Bessel Functions of the First and Second Kinds. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/bessel/bessel_root.html.
P. A. Bristow and H. Holin. Gegenbauer Polynomials. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_poly/gegenbauer.html.
P. A. Bristow and H. Holin. Hermite Polynomials. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_poly/hermite.html.
P. A. Bristow and H. Holin. Hypotenuse. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/powers/hypot.html.
P. A. Bristow and H. Holin. Jacobi Polynomials. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_poly/jacobi.html.
P. A. Bristow and H. Holin. Laguerre (and Associated) Polynomials. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_poly/laguerre.html.
P. A. Bristow and H. Holin. Legendre (and Associated) Polynomials. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_poly/legendre.html.
P. A. Bristow and H. Holin. Ratios of Gamma Functions. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_gamma/gamma_ratios.html.
P. A. Bristow and H. Holin. SincPi. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sinc/sinc_pi.html.
P. A. Bristow and H. Holin. Spherical Bessel Functions of the First and Second Kinds. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/bessel/sph_bessel.html.
P. A. Bristow and H. Holin. Spherical Hankel Functions. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/hankel/sph_hankel.html.
P. A. Bristow and H. Holin. Spherical Harmonics. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_poly/sph_harm.html.
P. A. Bristow and H. Holin. Trigamma. Boost Math Toolkit Library, 2017. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/sf_gamma/trigamma.html.
P. A. Bristow and H. Holin. Airy Ai' Function. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/airy/aip.html.
P. A. Bristow and H. Holin. Airy Bi' Function. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/airy/aip.html.
P. A. Bristow and H. Holin. Elliptic Integral D - Legendre Form *Boost Math Toolkit Library. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/ellint/ellint_d.html.
P. A. Bristow and H. Holin. Elliptic Integral Overview. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/ellint/ellint_intro.html.
P. A. Bristow and H. Holin. Elliptic Integrals - Carlson Form. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_85_0/libs/math/doc/html/math_toolkit/ellint/ellint_carlson.html.
P. A. Bristow and H. Holin. Elliptic Integrals of the First Kind - Legendre Form. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/ellint/ellint_1.html.
P. A. Bristow and H. Holin. Elliptic Integrals of the Second Kind - Legendre Form. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/ellint/ellint_2.html.
P. A. Bristow and H. Holin. Elliptic Integrals of the Third Kind - Legendre Form. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/ellint/ellint_3.html.
P. A. Bristow and H. Holin. Finding Zeros of Airy Functions. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/airy/airy_root.html.
P. A. Bristow and H. Holin. Heuman Lambda Function. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/ellint/heuman_lambda.html.
P. A. Bristow and H. Holin. Jacobi Elliptic Function cd. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/jacobi/jacobi_cd.html.
P. A. Bristow and H. Holin. Jacobi Elliptic Function cn. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/jacobi/jacobi_cn.html.
P. A. Bristow and H. Holin. Jacobi Elliptic Function cs. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/jacobi/jacobi_cs.html.
P. A. Bristow and H. Holin. Jacobi Elliptic Function dc. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/jacobi/jacobi_dc.html.
P. A. Bristow and H. Holin. Jacobi Elliptic Function dn. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/jacobi/jacobi_dn.html.
P. A. Bristow and H. Holin. Jacobi Elliptic Function ds. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/jacobi/jacobi_ds.html.
P. A. Bristow and H. Holin. Jacobi Elliptic Function nc. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/jacobi/jacobi_nc.html.
P. A. Bristow and H. Holin. Jacobi Elliptic Function nd. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/jacobi/jacobi_nd.html.
P. A. Bristow and H. Holin. Jacobi Elliptic Function ns. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/jacobi/jacobi_ns.html.
P. A. Bristow and H. Holin. Jacobi Elliptic Function sc. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/jacobi/jacobi_sc.html.
P. A. Bristow and H. Holin. Jacobi Zeta Function. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/ellint/jacobi_zeta.html.
P. A. Bristow and H. Holin. Overview of the Jacobi Elliptic Functions. Boost Math Toolkit Library, 2018. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/jacobi/jac_over.html.
P. A. Bristow and H. Holin. Exponential Integral Ei. Boost Math Toolkit Library, 2019. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/expint/expint_i.html.
P. A. Bristow and H. Holin. Exponential Integral En. Boost Math Toolkit Library, 2019. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/expint/expint_n.html.
P. A. Bristow and H. Holin. Hypergeometric 2F0. Boost Math Toolkit Library, 2019. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html.
P. A. Bristow and H. Holin. Jacobi Elliptic Function sd. Boost Math Toolkit Library, 2019. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/jacobi/jacobi_sd.html.
P. A. Bristow and H. Holin. Jacobi Elliptic Function sn. Boost Math Toolkit Library, 2019. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/jacobi/jacobi_sn.html.
P. A. Bristow and H. Holin. Riemann Zeta Function. Boost Math Toolkit Library, 2019. [Online; accessed 22-July-2024]. URL: https://www.boost.org/doc/libs/1_83_0/libs/math/doc/html/math_toolkit/zetas/zeta.html.
Paul A. Bristow, Hubert Holin, Christopher Kormanyos, Bruno Lalande, John Maddock, Johan Råde, Benjamin Sobotta, Gautam Sewani, Thijs van den Berg, Daryle Walker, and and Xiaogang Zhang. Boost math toolkit library. http://www.boost.org/libs/math/, June 2013. Documentation available as http://www.boost.org/doc/libs/1_54_0/libs/math/doc/html/index.html.
S.A. Broda and M. Paolella. Saddlepoint approximations for the doubly noncentral t distribution. Computational Statistics & Data Analysis, 51:2907–2918, 2007. Postprint available as http://www.zora.uzh.ch/16956/2/broda_dnct_07V.pdf.
B. Malcolm Brown, Matthias Langer, Marco Marletta, Christiane Tretter, and Markus Wagenhofer. Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics. LMS J. Comput. Math., 13:65 – 81, 2010.
R. Bulirsch. An extension of the bartky-transformation to incomplete elliptic integrals of the third kind. Numer. Math., 13(3):266–284, 1969.
R. Bulirsch. Numerical calculation of elliptic integrals and elliptic functions. iii. Numer. Math., 13(4):305–315, 1969.
J. Burkardt. The Truncated Normal Distribution. Department of Scientific Computing, Florida State University, 2014. Available as https://people.sc.fsu.edu/ jburkardt/presentations/truncated_normal.pdf.
R.W. Butler. Saddlepoint Approximations with Applications. Cambridge University Press, 1st edition, 2007.
R.W. Butler and M.S. Paolella. Calculating the density and distribution function for the singly and doubly noncentral f. Statistics and Computing, 12:9–16, 2002. Working paper (1999) available at http://129.82.101.115/statresearch/stattechreports/Technical%20Reports/1999/99-6%20Butler%20Paolella.pdf.
R.W. Butler and A.T.A. Wood. Laplace approximations for hypergeometric functions with matrix arguments. Ann. Statist., 30:1155–1177, 2002. Available at (permanent url): http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.aos/1031689021.
R.W. Butler and A.T.A. Wood. Approximation of power in multivariate analysis. Statistics and Computing, 15(4):281–287, October 2005. URL: http://dx.doi.org/10.1007/s11222-005-4071-x, doi:10.1007/s11222-005-4071-x.
Bender C.M. and S.A. Orszag. Advanced Mathematical Methods for Scientists and Engineers. Springer New York, 1999.
L. Canal. A normal approximation for the chi-square distribution. Computational Statistics & Data Analysis, 48:803––808, 2005. Available at http://www.sciencedirect.com/science/article/pii/S0167947304001069.
B. C. Carlson. Elliptic Integrals. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/19.2.
B. C. Carlson. Elliptic Integrals (Symmetric Integrals). NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/19.16.
B. C. Carlson. Elliptic Integrals, Bulirsch-Integrals. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/19.2#iii.
J. R. Cash and A. H. Karp. A variable order runge-kutta method for initial value problems with rapidly varying right-hand sides. ACM Transactions on Mathematical Software, 16:201–222, 1990.
R. Chattamvelli and M. C. Jones. Recurrence relations for noncentral density, distribution functions and inverse moments. Journal of Statistical Computation and Simulation, 52(3):289–299, 1995. URL: http://www.tandfonline.com/doi/abs/10.1080/00949659508811679, arXiv:http://www.tandfonline.com/doi/pdf/10.1080/00949659508811679, doi:10.1080/00949659508811679.
C. Chesneau. A new family of distributions based on the hypoexponential distribution with fitting reliability data. Statistica, 78(2):127––147, 2018. URL: https://doi.org/10.6092/issn.1973-2201/8260.
M. Chiani. Distribution of the largest eigenvalue for real Wishart and Gaussian random matrices and a simple approximation for the Tracy-Widom distribution. ArXiv e-prints, September 2012. Available at http://adsabs.harvard.edu/abs/2012arXiv1209.3394C. arXiv:1209.3394.
M. Chiani. Distribution of the largest root of a matrix for Roy's test in multivariate analysis of variance. ArXiv e-prints, January 2014. Available at http://adsabs.harvard.edu/abs/2014arXiv1401.3987C. arXiv:1401.3987.
Youn-Min Chou. New representations for the doubly noncentral `f`-distribution and derived distribution. Communications in Statistics - Theory and Methods, 14(3):527–534, 1985. URL: http://www.tandfonline.com/doi/abs/10.1080/03610928508828931, arXiv:http://www.tandfonline.com/doi/pdf/10.1080/03610928508828931, doi:10.1080/03610928508828931.
C.A. Coelho, F.J. Marques, and S.R. Oliveira. Near-exact distributions for likelihood ratio statistics used in the simultaneous test of conditions on mean vectors and patterns of covariance matrices. Mathematical Problems in Engineering, 2016:1 – 25, 2016.
A.M. Cohen. Numerical Methods for Laplace Transform Inversion. Springer, Berlin, 2007.
H. Cohen, F. Rodriguez Villegas, and D. Zagier. Convergence acceleration of alternating series. Experiment. Math, 9(1):3–12, 2000.
J. D. Cohen. Noncentral chi-square: some observations on recurrence. The American Statistician, 42:120–122, 1988.
S. Coles. An Introduction to Statistical Modeling of Extreme Values. Springer, London, 2007.
R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth. On the lambert w function. In Advances in Computational Mathematics, 329–359. 1996.
E. A. Cornish and Ronald A. Fisher. Moments and cumulants in the specification of distributions. Revue de l'Institut International de Statistique, 5(4):307–320, 1938.
G. E. Crooks. Field Guide to Continuous Probability Distributions. Berkeley Institute for Theoretical Sciences (BITS). ISBN: 978-1-7339381-0-5., 1996. Aavailable at http://www.arpapress.com/Volumes/Vol10Issue2/IJRRAS_10_2_02.pdf.
G. E. Crooks. The amoroso distribution. arXiv preprint arXiv:1005.3274., 2010.
A.A.M. Cuyt, V. Petersen, B. Verdonk, H. Waadeland, and W.B. Jones. Handbook of Continued Fractions for Special Functions. Springer, 2008.
A.A.M. Cuyt, B. Verdonk, S. Becuve, and P. Kuterna. A remarkable example of catastrophic cancellation unraveled. Computing, 66(3):309–320, 2001.
A. B. O. Daalhuis. Whittaker Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/13.14.
A.O. Daalhuis. Hypergeometric Function: Gauss series. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/15.2#i.
A.O. Daalhuis. Kummer functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/13.2.
C. Dagum. A new model of personal income distribution: specification and estimation. Économie Appliquée, 30:413–437, 1977.
H. E. Daniels. Saddlepoint approximations in statistics. Annals of Mathematical Statistics, 25:631–650, 1954.
H. E. Daniels. Tail probability approximations. International Statistical Review, 55:37–48, 1987.
H. A. David. The power function of some tests based on range. Biometrika, 40:347–353, 1953.
H. A. David, P. A. Lachenbruch, and H. P. Brandis. The power function of range and studentized range tests in normal samples. Biometrika, 59(1):161–168, 1972. Article Stable url: http://www.jstor.org/stable/2334627.
S. T. David, M. G. Kendall, and A. Stuart. Some questions of distribution in the theory of rank correlation. Biometrika, 38(1/2):131–140, 1951. Article Stable url: http://www.jstor.org/stable/2332322.
B. Davies. Integral Transforms and their Applications. Springer, 2008.
B. Davies and B. Martin. Numerical inversion of the laplace transform: a survey and comparison of methods. Journal of Computational Physics, 33:1–32, 1979.
A. W. Davis. A system of linear differential equations for the distribution of hotelling's generalized `t_0^2`. The Annals of Mathematical Statistics, 39(3):815–832, 06 1968. Available at http://dx.doi.org/10.1214/aoms/1177698313. URL: http://dx.doi.org/10.1214/aoms/1177698313, doi:10.1214/aoms/1177698313.
A.W. Davis. Further applications of a differential equation for Hotelling's generalized `T_0^2`. Annals of the Institute of Statistical Mathematics, 22(1):77–87, 1970. Available at http://dx.doi.org/10.1007/BF02506325. URL: http://dx.doi.org/10.1007/BF02506325, doi:10.1007/BF02506325.
A.W. Davis. Percentile approximations for a class of likelihood ratio criteria. Biometrika, 58:349–356, 1971.
F. R. S. De Gusmao, E. M. M. Ortega, and G. M. Cordeiro. The generalized inverse weibull distribution. Statistical Papers, 52(3):591–619, 2011.
Eigen Core Developers. Fast Fourier Transform module. Eigen, a C++ linear algebra library, 2023. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/unsupported/group__FFT__Module.html.
Eigen Core Developers. Matrix cosine. Eigen, a C++ linear algebra library, 2023. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/unsupported/group__MatrixFunctions__Module.html#matrixbase_cos.
Eigen Core Developers. Matrix exponential. Eigen, a C++ linear algebra library, 2023. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/unsupported/group__MatrixFunctions__Module.html#matrixbase_exp.
Eigen Core Developers. Matrix functions module. Eigen, a C++ linear algebra library, 2023. [Online; accessed 22-July-2024]. URL: http://eigen.tuxfamily.org/dox/unsupported/group__MatrixFunctions__Module.html.
Eigen Core Developers. Matrix hyberbolic cosine. Eigen, a C++ linear algebra library, 2023. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/unsupported/group__MatrixFunctions__Module.html#matrixbase_cosh.
Eigen Core Developers. Matrix hyperbolic sine. Eigen, a C++ linear algebra library, 2023. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/unsupported/group__MatrixFunctions__Module.html#matrixbase_sinh.
Eigen Core Developers. Matrix logarithm. Eigen, a C++ linear algebra library, 2023. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/unsupported/group__MatrixFunctions__Module.html#matrixbase_log.
Eigen Core Developers. Matrix raised to arbitrary real power. Eigen, a C++ linear algebra library, 2023. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/unsupported/group__MatrixFunctions__Module.html#matrixbase_pow.
Eigen Core Developers. Matrix sine. Eigen, a C++ linear algebra library, 2023. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/unsupported/group__MatrixFunctions__Module.html#matrixbase_sin.
Eigen Core Developers. Matrix square root. Eigen, a C++ linear algebra library, 2023. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/unsupported/group__MatrixFunctions__Module.html#matrixbase_sqrt.
Eigen Core Developers. Non-linear optimization. Eigen, a C++ linear algebra library, 2023. [Online; accessed 22-July-2024]. URL: http://eigen.tuxfamily.org/dox/unsupported/group__NonLinearOptimization__Module.html.
Eigen Core Developers. Polynomial Solver Base. Eigen, a C++ linear algebra library, 2023. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/unsupported/classEigen_1_1PolynomialSolverBase.html.
Eigen Core Developers. Polynomials module. Eigen, a C++ linear algebra library, 2023. [Online; accessed 22-July-2024]. URL: http://eigen.tuxfamily.org/dox/unsupported/group__Polynomials__Module.html.
Eigen Core Developers. ColPivHouseholderQR. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1ColPivHouseholderQR.html.
Eigen Core Developers. CompleteOrthogonalDecomposition. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1CompleteOrthogonalDecomposition.html.
Eigen Core Developers. ComplexEigenSolver. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1ComplexEigenSolver.html.
Eigen Core Developers. ComplexSchur. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1ComplexSchur.html.
Eigen Core Developers. FullPivHouseholderQR. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1FullPivHouseholderQR.html.
Eigen Core Developers. FullPivLU. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1FullPivLU.html.
Eigen Core Developers. GeneralizedEigenSolver. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1GeneralizedEigenSolver.html.
Eigen Core Developers. GeneralizedSelfAdjointEigenSolver. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1GeneralizedSelfAdjointEigenSolver.html.
Eigen Core Developers. HessenbergDecomposition. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1ComplexEigenSolver.html.
Eigen Core Developers. HouseholderQR. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1HouseholderQR.html.
Eigen Core Developers. JacobiSVD. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1JacobiSVD.html.
Eigen Core Developers. LDLT. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1LDLT.html.
Eigen Core Developers. LLT. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1LLT.html.
Eigen Core Developers. PartialPivLU. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1PartialPivLU.html.
Eigen Core Developers. PseudoEigenvalueMatrix. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1EigenSolver.html#a4979eafe0aeef06b19ada7fa5e19db17.
Eigen Core Developers. PseudoEigenvectors. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1EigenSolver.html#a4979eafe0aeef06b19ada7fa5e19db17.
Eigen Core Developers. RealQZ. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1RealQZ.html.
Eigen Core Developers. RealSchur. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1RealSchur.html.
Eigen Core Developers. Reductions and Partial Reductions. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/group__TutorialReductionsVisitorsBroadcasting.html.
Eigen Core Developers. SelfAdjointEigenSolver. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1SelfAdjointEigenSolver.html.
Eigen Core Developers. Tridiagonalization. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/classEigen_1_1Tridiagonalization.html.
Eigen Core Developers. Using BLAS/LAPACK from Eigen. Eigen, a C++ linear algebra library, 2024. [Online; accessed 22-July-2024]. URL: https://eigen.tuxfamily.org/dox/TopicUsingBlasLapack.html.
Dharmawansa P, Rajatheva N. and K. Ahmed. On the distribution of the sum of nakagami-m random variables. IEEE Transactions on Communications, 55(7):1407–1416, 2007.
K. Dilcher. Bernoulli and Euler Polynomials. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/24.2.
Wolfram Language Documentation. Arcsine Distribution. Wolfram Research, 2004. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/ArcSinDistribution.html.
Wolfram Language Documentation. Inverse Gamma Distribution. Wolfram Research, 2004. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/InverseGammaDistribution.html.
Wolfram Language Documentation. Noncentral Student's t-Distribution. Wolfram Research, 2004. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/NoncentralBetaDistribution.html.
Wolfram Language Documentation. Birnbaum-Saunders Distribution. Wolfram Research, 2005. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/BirnbaumSaundersDistribution.html.
Wolfram Language Documentation. Exponential power distribution. Wolfram Research, 2005. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/ExponentialPowerDistribution.html.
Wolfram Language Documentation. Gompertz-Makeham distribution. Wolfram Research, 2005. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/GompertzMakehamDistribution.html.
Wolfram Language Documentation. Hyperexponential Distribution. Wolfram Research, 2005. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/HyperexponentialDistribution.html.
Wolfram Language Documentation. Hypoexponential distribution. Wolfram Research, 2005. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/HypoexponentialDistribution.html.
Wolfram Language Documentation. Inverse ChiSquare Distribution. Wolfram Research, 2005. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/InverseChiSquareDistribution.html.
Wolfram Language Documentation. Kumaraswamy Distribution. Wolfram Research, 2005. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/KumaraswamyDistribution.html.
Wolfram Language Documentation. Meixner Distribution. Wolfram Research, 2005. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/MeixnerDistribution.html.
Wolfram Language Documentation. Moyal Distribution. Wolfram Research, 2005. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/MoyalDistribution.html.
Wolfram Language Documentation. Nakagami Distribution. Wolfram Research, 2005. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/NakagamiDistribution.html.
Wolfram Language Documentation. Shifted Gompertz distribution. Wolfram Research, 2005. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/ShiftedGompertzDistribution.html.
Wolfram Language Documentation. SkewNormal Distribution. Wolfram Research, 2005. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/SkewNormalDistribution.html.
Wolfram Language Documentation. Inverse of the Regularized Incomplete Beta Function. Wolfram Research, 2006. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/InverseBetaRegularized.html.
Wolfram Language Documentation. Inverse of the Regularized Incomplete Gamma Function. Wolfram Research, 2006. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/InverseGammaRegularized.html.
Wolfram Language Documentation. Regularized (Gauss) Hypergeometric Function. Wolfram Research, 2009. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/Hypergeometric2F1Regularized.html.
Wolfram Language Documentation. Regularized Confluent Hypergeometric Function of the First Kind. Wolfram Research, 2009. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/Hypergeometric1F1Regularized.html.
Wolfram Language Documentation. Regularized Confluent Hypergeometric Limit Function. Wolfram Research, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ConfluentHypergeometricLimitFunction.html.
Wolfram Language Documentation. Airy Ai Function. Wolfram Research, 2011. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/AiryAi.html.
Wolfram Language Documentation. Airy Ai' Function. Wolfram Research, 2011. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/AiryAiPrime.html.
Wolfram Language Documentation. Airy Bi Function. Wolfram Research, 2011. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/AiryBi.html.
Wolfram Language Documentation. Airy Bi' Function. Wolfram Research, 2011. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/AiryBiPrime.html.
Wolfram Language Documentation. Jacobi Elliptic Function cd. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/JacobiCD.html.
Wolfram Language Documentation. Jacobi Elliptic Function cn. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/JacobiCN.html.
Wolfram Language Documentation. Jacobi Elliptic Function cs. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/JacobiCS.html.
Wolfram Language Documentation. Jacobi Elliptic Function dc. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/JacobiDC.html.
Wolfram Language Documentation. Jacobi Elliptic Function dn. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/JacobiDN.html.
Wolfram Language Documentation. Jacobi Elliptic Function ds. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/JacobiDS.html.
Wolfram Language Documentation. Jacobi Elliptic Function nc. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/JacobiNC.html.
Wolfram Language Documentation. Jacobi Elliptic Function nd. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/JacobiND.html.
Wolfram Language Documentation. Jacobi Elliptic Function ns. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/JacobiNS.html.
Wolfram Language Documentation. Jacobi Elliptic Function sc. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/JacobiSC.html.
Wolfram Language Documentation. Jacobi Elliptic Function sd. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/JacobiSD.html.
Wolfram Language Documentation. Jacobi Elliptic Function sn. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/JacobiSN.html.
Wolfram Language Documentation. Jacobi Theta Functions, First Derivative. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/EllipticThetaPrime.html.
Wolfram Language Documentation. Neville ThetaC. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/NevilleThetaC.html.
Wolfram Language Documentation. Neville ThetaD. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/NevilleThetaD.html.
Wolfram Language Documentation. Neville ThetaN. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/NevilleThetaN.html.
Wolfram Language Documentation. Neville ThetaS. Wolfram Research, 2012. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/NevilleThetaS.html.
Wolfram Language Documentation. Weierstrass HalfPeriods. Wolfram Research, 2013. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/WeierstrassHalfPeriods.html.
Wolfram Language Documentation. Weierstrass Invariants. Wolfram Research, 2013. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/WeierstrassInvariants.html.
Wolfram Language Documentation. Parabolic Cylinder Function D. Wolfram Research, 2016. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/ParabolicCylinderD.html.
Wolfram Language Documentation. Regularized Generalized Hypergeometric Function Function 1F2. Wolfram Research, 2016. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/HypergeometricPFQRegularized.html.
Wolfram Language Documentation. Regularized Generalized Hypergeometric Function Function 2F2. Wolfram Research, 2016. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/HypergeometricPFQRegularized.html.
Wolfram Language Documentation. Regularized Generalized Hypergeometric Function Function 2F3. Wolfram Research, 2016. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/HypergeometricPFQRegularized.html.
Wolfram Language Documentation. Regularized Generalized Hypergeometric Function Function 3F2. Wolfram Research, 2016. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/HypergeometricPFQRegularized.html.
Wolfram Language Documentation. Regularized Generalized Hypergeometric Function Function pFq. Wolfram Research, 2016. [Online; accessed 22-July-2024]. URL: https://reference.wolfram.com/language/ref/HypergeometricPFQRegularized.html.
J.R. Dormand and P.J. Prince. A family of embedded runge-kutta formulae. Journal of Computational and Applied Mathematics, 6(1):19 – 26, 1980. URL: http://www.sciencedirect.com/science/article/pii/0771050X80900133, doi:http://dx.doi.org/10.1016/0771-050X(80)90013-3.
M. Dowell and P. Jarratt. The "pegasus" method for computing the root of an equation. BIT, 12:503–508, 1972. doi:https://doi.org/10.1007/BF01932959.
E. Dubinov and A. A. Dubinova. Exact integral-free expressions for the integral debye functions. Technical Physics Letters, 34(12):503–508, 2008.
D.G. Duffy. On the numerical inversion of laplace transforms: comparison of three new methods on characteristic problems from applications. ACM Transactions on Mathematical Software, 19(3):333–359, 1993.
D.G. Duffy. Advanced Engineering Mathematics. CRC Press, 1998.
Charles W. Dunnett. A multiple comparison procedure for comparing several treatments with a control. Journal of the American Statistical Association, 50:1096–1121, 1955.
T.M. Dunster. Legendre and Related Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/14.2.
T.M. Dunster. Spherical and Spheroidal Harmonics. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/14.30.
C. Dutang, V. Goulet, and N. Langevin. Feller-pareto and related distributions: numerical implementation and actuarial applications. Journal of Statistical Software, 12:1–22, 2022.
A. Dzieciol, S. Yngve, and P. O. Fröman. Coulomb wave functions with complex values of the variable and the parameters. J. Math. Phys., 2022. doi:https://doi.org/10.1063/1.533083.
W. Ehrhardt. The AMath and DAMath Special Functions. Reference Manual and Implementation notes. Version 2.27, 2018. [Online; accessed 22-July-2024]. URL: https://web.archive.org/web/20181221065629/http://wolfgang-ehrhardt.de/specialfunctions.pdf.
O. Espinosa and V. Moll. A generalized polygamma function. Integral Transforms and Special Functions, 2004.
E. Fehlberg. Klassische runge-kutta-formeln vierter und niedrigerer ordnung mit schrittweiten-kontrolle und ihre anwendung auf wärmeleitungsprobleme. Computing (Arch. Elektron. Rechnen), 6:61 – 71, 1980.
S. A. Fellingham and D. J. Stoker. An approximation for the exact distribution of the wilcoxon test for symmetry. Journal of the American Statistical Association, 59:899–905, 1964. Article Stable url: http://www.jstor.org/stable/2283109.
H. R. P. Ferguson and D. H. Bailey. A Polynomial Time, Numerically Stable Integer Relation Algorithm. RNR Technical Report RNR-91-032, NASA Ames Research Center, MS T045-1, Moffett Field, CA 94035-1000, 1991.
H. R. P. Ferguson, D. H. Bailey, and S. Arno. Analysis of PSLQ, An Integer Relation Finding Algorithm. Manuscript. Summary available at https://www.cecm.sfu.ca/organics/papers/bailey/paper/html/node3.html, 1995.
C. Ferreira and J. L. López. Asymptotic expansions of the hurwitz–lerch zeta function. J. Math. Anal. Appl., 298:210–224, 2004. Available at https://www.sciencedirect.com/science/article/pii/S0022247X04003920.
R. Ferréol. Archimedean Spiral. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/archimede/archimede.shtml.
R. Ferréol. Cardioid. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/cardioid/cardioid.shtml.
R. Ferréol. Ceva trisectrix and sectrix. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/trisectricedeceva/trisectricedeceva.shtml.
R. Ferréol. Circle. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/cercle/cercle.shtml.
R. Ferréol. Cycloid. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/cycloid/cycloid.shtml.
R. Ferréol. Ellipse. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/ellipse/ellipse.shtml.
R. Ferréol. Epicycloid. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/epicycloid/epicycloid.shtml.
R. Ferréol. Epispiral. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/epi/epi.shtml.
R. Ferréol. Epitrochoid. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/epitrochoid/epitrochoid.shtml.
R. Ferréol. Fish curve. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/poisson/poisson.shtml.
R. Ferréol. Freeth's Nephroid. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/freeth/nephroiddefreeth.shtml.
R. Ferréol. Hyperbolic (or reciprocal) Spiral. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/hyperbolic/hyperbolic.shtml.
R. Ferréol. Hypocycloid. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/hypocycloid/hypocycloid.shtml.
R. Ferréol. Hypotrochoid. Encyclopédie des formes mathématiques remarquables, 2019. [Online; accessed 22-July-2024]. URL: https://mathcurve.com/courbes2d.gb/hypotrochoid/hypotrochoid.shtml.
R. Ferréol. Lamé curve. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/lame/lame.shtml.
R. Ferréol. Lemniscate of Bernoulli. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/lemniscate/lemniscate.shtml.
R. Ferréol. Lemniscate of Gerono, or Eight. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/gerono/gerono.shtml.
R. Ferréol. Limaçon (or snail) of Pascal. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/limacon/limacon.shtml.
R. Ferréol. Lissajous curve. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/lissajous/lissajous.shtml.
R. Ferréol. Lituus. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/lituus/lituus.shtml.
R. Ferréol. Logarithmic Spiral. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/logarithmic/logarithmic.shtml.
R. Ferréol. Rose. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/rosace/rosace.shtml.
R. Ferréol. Sluze Cubic. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/cubicsluze/cubicsluze.shtml.
R. Ferréol. Strophoid. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/strophoid/strophoid.shtml.
R. Ferréol. Trochoid. Encyclopédie des formes mathématiques remarquables, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/trochoid/trochoid.shtml.
R. Ferréol. Cissoid. Encyclopédie des formes mathématiques remarquables, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/cissoid/cissoid.shtml.
R. Ferréol. Cornu spiral or clothoid. Encyclopédie des formes mathématiques remarquables, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/cornu/cornu.shtml.
R. Ferréol. Cyclic-harmonic curves. Encyclopédie des formes mathématiques remarquables, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/conchoidderosace/conchoidderosace.shtml.
R. Ferréol. Maclaurin trisectrix. Encyclopédie des formes mathématiques remarquables, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/maclaurin/maclaurin.shtml.
R. Ferréol. Nodal curve. Encyclopédie des formes mathématiques remarquables, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/noeud/noeud.shtml.
R. Ferréol. Poinsot spiral. Encyclopédie des formes mathématiques remarquables, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/poinsot/poinsot.shtml.
R. Ferréol. Rational circular cubic. Encyclopédie des formes mathématiques remarquables, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/cubiccirculairerationnelle/cubiccirculairerationnelle.shtml.
R. Ferréol. Right rational circular cubic. Encyclopédie des formes mathématiques remarquables, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/cubiccirculairerationnelle/cubiccirculairerationnelledroite.shtml.
R. Ferréol. SiCi Spiral. Encyclopédie des formes mathématiques remarquables, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathcurve.com/courbes2d.gb/sici/sici.shtml.
R. A. Fisher. The general sampling distribution of the multiple correlation coefficient. Proceedings of the Royal Society of London. Series A, 121(788):654–673, 1928. Article Stable url: http://www.jstor.org/stable/2283109.
R. A. Fisher and E. A. Cornish. The percentile points of distributions having known cumulants. Technometrics, 2:209–225, 1960.
C.-E. Froberg. On the prime zeta function. BIT, 8:187–202, 1968.
Y. Fujikoshi. Asymptotic expansions of the distributions of test statistics in multivariate analysis. J. Sci. Hiroshima Univ. Ser. A-I Math, 34(1):73–144, 1970. Available at http://projecteuclid.org/euclid.hmj/1206138381.
Y. Fujikoshi. Asymptotic formulas for the non-null distributions of three statistics for multivariate linear hypothesis. Annals of the Institute of Statistical Mathematics, 25:423–436, 1973.
Y. Fujikoshi. Asymptotic expansions for the non-null distributions of three statistics in gmanova. Annals of the Institute of Statistical Mathematics, 26:289–297, 1974.
Cordeiro G. The beta moyal: a useful skew distribution. International Journal of Research and Reviews in Applied Sciences, 10:171–192, 2012. Aavailable at http://www.arpapress.com/Volumes/Vol10Issue2/IJRRAS_10_2_02.pdf.
D. Gaspard. Connection formulas between coulomb wave functions. 2018. Available at https://arxiv.org/abs/1804.10976.
Constantine Gatsonis and Allan R. Sampson. Connection formulas between coulomb wave functions. Psychological Bulletin, 106(3):516–524, 1989.
L. Gatteschi. Asymptotics and bounds for the zeros of laguerre polynomials: a survey. Journal of Computational and Applied Mathematics, 144:7–27, 2002.
S. Geisser. Multivariate analysis of variance for a special covariance case. Journal of the American Statistical Association, 58:660–669, 1963.
A. Genz and F. Bretz. Computation of Multivariate Normal and t Probabilities, Lecture notes in Statistics 195. Springer-Verlag, New York, 2009.
A. Genz, F. Bretz, T. Miwa, X. Mi, F. Leisch, F. Scheipl, and T. Hothorn. mvtnorm: Multivariate Normal and t Distributions. R package version 1.0-12. CRAN R-project, 2020.
Y. Gessner. Analytische Eigenschaften doppelt nichtzentraler Verteilungen. Dissertation. Universität Trier., 2014.
P. Ginzberg. Quaternion matrices: statistical properties and applications to signal processing and wavelets. PhD thesis, Imperial College, 2013. Available as https://spiral.imperial.ac.uk:8443/bitstream/10044/1/18975/1/Ginzberg-P-2013-PhD-Thesis.pdf.
P. Glasserman and J. Ruiz-Mata. Computing the credit loss distribution in the gaussian copula model: a comparison of methods. Journal of Credit Risk, 2(4):33–66, 2006. Extended and edited reprint from http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.22.6768.
David Goldberg. What every computer scientist should know about floating point arithmetic. ACM Computing Surveys, 23(1):5–48, 1991. Extended and edited reprint from http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.22.6768.
P.R. Graves-Morris, D.E. Roberts, and A. Salam. The epsilon algorithm and related topics. Journal of Computational and Applied Mathematics, 2000.
A. Gray, E. Abbena, and S. Salamon. Modern Differential Geometry of Curves and Surfaces with Mathematica, 3rd ed. CRC Press, Boca Raton, FL, 2006.
M. Grigoletto and C. Provasi. The epsilon algorithm and related topics. Journal of Computational and Applied Mathematics, 38(1):58–77, 2008.
F. Grubbs. Procedures for detecting outlying observations in samples. Technometrics, 11(1):1–21, 1969.
William C. Guenther. Desk calculation of probabilities for the distribution of the sample correlation coefficient. The American Statistician, 31:45–48, 1977.
A.K. Gupta and J. Tang. On a general distribution theory for a class of likelihood criteria. Austral. J. Statist., 30:359–366, 1988.
J. Gurland. A relatively simple form of the distribution of the multiple correlation coefficient. Journal of the Royal Statistical Society, Series B, Methodological, 30:276–283, 1968.
J. Gurland and O. Asiribo. On the distribution of the multiple correlation coefficient and the kinked chi-square random variable. Statistica Sinica, 1:493–502, 1991. Article Stable url: https://www.jstor.org/stable/24304023?seq=1.
J. Gurland and R. Milton. Further consideration of the distribution of the multiple correlation coefficient. Journal of the Royal Statistical Society. Series B (Methodological), 32(3):381–394, 1970. Article Stable url: http://www.jstor.org/stable/2984364.
M. Haas. A note on the moments of the skew-normal distribution. Economics Bulletin, 32(4):3306–3312, 2012.
G. J. Hahn and R. W. Hendrickson. A table of percentage points of the distribution of the largest absolute value of k student t variates and its applications. Biometrika, 58(2):323–332, 1971.
E. Hairer, S. P. Nørsett, and G. Wanner. Solving Ordinary Differential Equations I: Nonstiff Problems. Springer, Berlin, 2nd edition, 1993.
E. Hansen and R. Smith. Interval arithmetic in matrix computations, part ii. SIAM Journal of Numerical Analysis, 4(1):1–9, 1967. Article Stable url: http://www.jstor.org/stable/2237810.
B.I. Harley. Relation between the distributions of non-central t and of a transformed correlation coefficient. Biometrika, 44(1-2):219–224, 1957.
H. L. Harter. Tables of range and studentized range. The Annals of Mathematical Statistics, 31(4):1122–1147, 1960. Article Stable url: http://www.jstor.org/stable/2237810.
N. Hauberg. The non-central nakagami distribution. 2018. Available as http://www2.compute.dtu.dk/ sohau/papers/nakagami2018/nakagami.pdf.
J. Heinrich. A Guide to the Pearson Type IV Distribution. Univ. Pennsylvania, Philadelphia, Tech. Rep. CDF/Memo/Statistics/Public/6820, 2004. Available at http://www-cdf.fnal.gov/physics/statistics/notes/cdf6820_pearson4.pdf.
Maplesoft Online Help. EllipticE, EllipticCE. Maplesoft, 2024. [Online; accessed 22-July-2024]. URL: https://www.maplesoft.com/support/help/maple/view.aspx?path=EllipticE.
Maplesoft Online Help. EllipticF, EllipticK, EllipticCK. Maplesoft, 2024. [Online; accessed 22-July-2024]. URL: https://www.maplesoft.com/support/help/maple/view.aspx?path=EllipticF.
Maplesoft Online Help. EllipticPi, EllipticCPi. Maplesoft, 2024. [Online; accessed 22-July-2024]. URL: https://www.maplesoft.com/support/help/maple/view.aspx?path=EllipticPi.
Maplesoft Online Help. KelvinBer, KelvinBei. Maplesoft, 2024. [Online; accessed 22-July-2024]. URL: https://www.maplesoft.com/support/help/Maple/view.aspx?path=Kelvin.
Nicholas J. Higham. Accuracy and Stability of Numerical Algorithms. SIAM, 1st edition, 2002. Online resource: http://www.maths.manchester.ac.uk/ higham/asna/.
Nicholas J. Higham. Accuracy and stability of numerical algorithms - presentation given at 3rd many-core and reconfigurable supercomputing network workshop queen’s university, belfast, january 15-16, 2009. 2009. Available as http://cpc.cs.qub.ac.uk/MRSN/higham.pdf.
I. D. Hill, R. Hill, and R. L. Holder. Algorithm as 99: fitting johnson curves by moments. Journal of the Royal Statistical Society. Series C (Applied Statistics), 1976.
Y. Hochberg and A. C. Tamhane. Multiple comparison procedures. John Wiley & Sons, Inc., New York, NY, USA, 1987. ISBN 0-471-82222-1.
H.H.H. Homeier. Scalar levin-type sequence transformations. J. Comp. Appl. Math., 122:81–147, 2000. Available as https://arxiv.org/abs/math/0005209.
Harold Hotelling. New light on the correlation coefficient and its transforms. Journal of the Royal Statistical Society, Series B, Methodological, 15:193–225, 1953.
S. Hu and M.-S. Kim. On dirichlet's lambda functions. 2018. Available as https://arxiv.org/abs/1806.07762v2.
A.D. Hutson. An alternative skew exponential power distribution formulation. Commun Stat Theory Methods, 48(12):3005–3024, 2019. Available as https://doi.org/10.1186/s13662-018-1527-9.
R. James, Langou, J., and B. R. Lowery. On matrix balancing and eigenvector computation. 2014. Available as https://arxiv.org/pdf/1401.5766.pdf.
R. Jaschke. Algorithm as 269: high order cornish-fisher expansion. Journal of the Royal Statistical Society. Series C (Applied Statistics), 41(11):233–240, 2001.
J.L. Jensen. The modified signed likelihood statistic and saddlepoint approximations. Annals of Mathematical Statistics, 79:693–703, 1992.
F. Jiménez and P. Pedro Jodrá. A note on the moments and computer generation of the shifted gompertz distribution. Communications in Statistics - Theory and Methods, 38(1):75–89, 2008.
F. Jiménez Torres. Estimation of parameters of the shifted gompertz distribution using least squares, maximum likelihood and moments methods. Journal of Computational and Applied Mathematics, 255:867–877, 2014.
Z. Jin. On the lucas polynomials and some of their new identities. Adv Differ Equ, 2018. Available as https://doi.org/10.1186/s13662-018-1527-9.
P. Jodrá. Systems of frequency curves generated by methods of translation. Biometrika, 36(1/2):149–176, 1949.
P. Jodrá. On an extension of the connexion between poisson and chi-squared distributions. Biometrika, 46(3/4):352–363, 1959.
P. Jodrá. On order statistics from the gompertz–makeham distribution and the lambert w function. Mathematical Modelling and Analysis, 18(3):432–445, 2013.
F. Johansson. Accelerated arithmetic in arb 2.15. 2018. Available as https://fredrikj.net/blog/2018/09/accelerated-arithmetic-in-arb-2-15/.
F. Johansson. Characteristic functions in the prob package. 2018. Available as https://cran.r-project.org/web/packages/prob/vignettes/charfunc.pdf.
F. Johansson. Eigenvalues in arb. 2018. Available as http://fredrikj.net/blog/2018/12/eigenvalues-in-arb/.
F. Johansson. On the lucas polynomials and some of their new identities. 26th IEEE Symposium on Computer Arithmetic (ARITH26), 2019. Available as https://arxiv.org/abs/1901.04289.
N. L. Johnson, S. Kotz, and N. Balakrishnan. Continuous Univariate Distributions, Volume 1. Wiley & Sons, Inc., New York-London-Sydney-Toronto, 2nd edition, 1994.
N. L. Johnson, S. Kotz, and N. Balakrishnan. Continuous Univariate Distributions, Volume 2. Wiley & Sons, Inc., New York-London-Sydney-Toronto, 2nd edition, 1995.
N. L. Johnson, S. Kotz, and N. Balakrishnan. Univariate discrete distributions. Wiley & Sons, Inc., New York-London-Sydney-Toronto, 3rd edition, 1995.
M.C. Jones and M.J. Faddy. A skew extension of the t -distribution, with applications. J. R. Statist. Soc. B, 65:159–174, 2003.
M.C. Jones and M.J. Faddy. Sinh-arcsinh distributions. Biometrika, 96:761–780, 2009.
K. Kelley. Sample size planning for the squared multiple correlation coefficient: accuracy in parameter estimation via narrow confidence intervals. Multivariate Behavioral Research, 43:524–555, 2008.
C. Kleiber and S. Kotz. Statistical Size Distributions in Economics and Actuarial Sciences. Wiley & Sons, Inc., New York-London-Sydney-Toronto, 2003.
K. Kocherlakota and S. Kocherlakota. On the doubly noncentral t distribution. Communications in Statistics - Simulation and Computation, 20(1):23–31, 1991. URL: http://www.tandfonline.com/doi/abs/10.1080/03610919108812936, arXiv:http://www.tandfonline.com/doi/pdf/10.1080/03610919108812936, doi:10.1080/03610919108812936.
P. Koev and A. Edelman. The efficient evaluation of the hypergeometric function of a matrix argument. Mathematics of Computation, 75:833–846, 2006. Article Stable url: http://math.mit.edu/ plamen/files/hyper.pdf, Software available at http://math.mit.edu/ plamen/software/mhgref.html. arXiv:arXiv:math/0505344.
J. Kolassa and P. McCullagh. Edgeworth series for lattice distributions. The Annals of Statistics, 18:981–985, 1990.
T.H. Koornwinder, R. S. C. Wong, R. Koekoek, and R. Swarttouw. Orthogonal Polynomials. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/18.3.
Kotz, S. and S. Nadarajah. Extreme Value Distributions. Theory and Applications. London: Imperial College Press, 2000.
S.N. Krivoshapko and V.N. Ivanov. Encyclopedia of Analytical Surfaces. Springer International Publishing Switzerland, 2015.
K.L. Kuhlman. Review of inverse laplace transform algorithms for laplace-space numerical approaches. Numerical Algorithms, 62:339–355, 2013.
R. W. Kulp and B. N. Nagarsenker. An asymptotic expansion of the nonnull distribution of wilks criterion for testing the multivariate linear hypothesis. The Annals of Statistics, 12(4):1576–1583, 1984. Available at http://http://projecteuclid.org/euclid.aos/1176346816.
D. Kumar. Accurately computing log(1-\exp (-|a|)). assessed from the rmpfr package. International Journal of System Assurance Engineering and Management, 2017. Available at https://www.researchgate.net/publication/315464331_The_Singh-Maddala_distribution_properties_and_estimation.
W. Kutta. Beitrag zur näherungsweisen integration totaler differentialgleichungen. Zeitschrift für Mathematik und Physik, 46:435–453, 1901.
Y.-S. Lee and T.-K. Lin. Algorithm as 269: high order cornish-fisher expansion. Journal of the Royal Statistical Society. Series C (Applied Statistics), 41(1):233–240, 1992. Article Stable url: http://www.jstor.org/stable/2347649.
Yoong-Sin Lee. Asymptotic formulae for the distribution of a multivariate test statistic: power comparisons of certain multivariate tests. Biometrika, 58:647–651, 1971.
Yoong-Sin Lee. Distribution of the canonical correlations and asymptotic expansions for distributions of certain independent test statistics. The Annals of Mathematical Statistics, 42:526–537, 1971. Available at http://projecteuclid.org/euclid.aoms/1177693403.
Yoong-Sin Lee. Some results on the sampling distribution of the multiple correlation coefficient. Journal of the Royal Statistical Society, Series B, Methodological, 33:117–130, 1971.
Yoong-Sin Lee. Tables of upper percentage points of the multiple correlation coefficient. Biometrika, 59:175–189, 1972.
D.V. Lindley. Fiducial distributions and Bayes' theorem. Journal of the Royal Statistical Society. Series B (Methodological), pages 102.107, 1958.
Robert Lugannani and Stephen Rice. Saddle point approximation for the distribution of the sum of independent random variables. Advances in Applied Probability, 12(2):475–490, 1980.
F.J. Marques, C.A. Coelho, and B.C. Arnold. A general near-exact distribution theory for the most common likelihood ratio test statistics used in multivariate analysis. Test, 20:180 – 203, 2011.
J.W. Mauchly. Significance test for sphericity of a normal nvariate distribution. Annals of Mathematical Statistics, 11:204–209, 1940.
J. Meier. Tanh Spirale. Parametrische Flächen und Körper, 2020. [Online; last edited on 13 April 2020; accessed 22-Dec-2024]. URL: http://www.3d-meier.de/tut3/Seite190.html.
N. Michel. Precise coulomb wave functions for a wide range of complex l, eta and z. Comput. Phys. Comm., 2007. Available as http://arxiv.org/abs/physics/0702051v1.
R. C Milton. Rank Order Probabilities. Two-Sample Normal Shift Alternatives. Wiley & Sons, Inc., New York-London-Sydney-Toronto, 1970.
M. Mori. Developments in the double exponential formula for numerical integration, Proceedings of the International Congress of Mathematicians, Kyoto 1990. Springer-Verlag, Berlin, 1991.
J. J. Moré, B. S. Garbow, and K. E. Hillstrom. User guide for minpack-1, argonne national laboratory report anl-80-74, argonne, ill. 1980. Available as http://www.mcs.anl.gov/ more/ANL8074a.pdf (Chapter 1-3) and http://www.mcs.anl.gov/ more/ANL8074b.pdf (Chapter 4).
R. J. Muirhead. Aspects of Multivariate Statistical Theory. John Wiley and Sons, 1982.
R.J. Muirhead and Y. Chikuse. Approximations for the distributions of the extreme latent roots of three matrices. Ann. Inst. Statist. Math., 27:473–478, 2007. Available as http://arxiv.org/abs/physics/0702051v1.
H. Murakami and T. Kamakura. A saddlepoint approximation to a nonparametric test for ordered alternatives. Journal of the Japan Statistical Society, 39(2):143–153, dec 2009. URL: http://ci.nii.ac.jp/naid/10025991989/en/, doi:.
M. Mächler. Accurately computing log(1-\exp (-|a|)). assessed from the rmpfr package. 2012. Available as https://cran.r-project.org/web/packages/Rmpfr/vignettes/log1mexp-note.pdf.
B. N. Nagarsenker and J. Suniaga. Distributions of a class of statistics useful in multivariate analysis. Journal of the American Statistical Association, 78(382):472–475, 1983. URL: http://www.tandfonline.com/doi/abs/10.1080/01621459.1983.10477998, arXiv:http://www.tandfonline.com/doi/pdf/10.1080/01621459.1983.10477998, doi:10.1080/01621459.1983.10477998.
S.C. Narula. Orthogonal polynomial regression for unequal spacing and frequencies. Journal of Quality Technology, 10:170–179, 1978.
V. Nijimbere. Evaluation of some non-elementary integrals involving sine, cosine, exponential and logarithmic integrals: part 1. Ural Mathematical Journal, 2017.
G.E. Noether. Elements of nonparametric statistics. SIAM series in applied mathematics. Wiley, 1967. URL: http://books.google.co.uk/books?id=BgFxIPl7tNAC.
R. G. O'Brien and G. Shieh. Pragmatic, unifying algorithm gives power probabilities for common f tests of the multivariate general linear hypothesis. 1992. Poster presented at the American Statistical Association Meetings, Boston, Statistical Computing Section. Also, paper in review, downloadable in PDF form from http://www.bio.ri.ccf.org/ UnifyPow.
Robert E. Odeh. Confidence limits on the correlation coefficient. In: Selected Tables in Mathematical Statistics, Vol. 10. American Mathematical Society, 1986.
The On-Line Encyclopedia of Integer Sequences. Hyperfactorials: product_k = 1..n k^k. 2000.
The On-Line Encyclopedia of Integer Sequences. Superfactorials: product of first n factorials. 2000.
T. Okayama. Explicit error bound for the tanh rule and the de formula for integrals with logarithmic singularity. JSIAM Letters, 6:9 – 11, 2014.
T. Okayama, T. Matsuo, and M. Sugihara. Error estimates with explicit constants for sinc approximation, sinc quadrature and sinc indefinite integration. Numerische Mathematik, 124:361 – 394, 2013.
Tomoaki Okayama. Explicit error bound for modified numerical iterated integration by means of sinc methods. In Revised Selected Papers of the 6th International Conference on Mathematical Aspects of Computer and Information Sciences - Volume 9582, MACIS 2015, 202–217. New York, NY, USA, 2016. Springer-Verlag New York, Inc. URL: http://dx.doi.org/10.1007/978-3-319-32859-1_17, doi:10.1007/978-3-319-32859-1_17.
I. Olkin and S. J. Press. Testing and estimation for a circular stationary model. Annals of Mathematical Statistics, 40:1358–1373, 1969.
F. W. J. Olver. Airy Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/9.2.
F. W. J. Olver. Error Functions - Dawson's Integral. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/7.2#E5.
F. W. J. Olver. Error Functions - Faddeeva function. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/7.2#E3.
F. W. J. Olver. Error Functions - Goodwin-Staton Integral. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/7.2#E12.
F. W. J. Olver. Error Functions - Repeated Integrals of the Complementary Error Function. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/7.18.
F. W. J. Olver. Scorer Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/9.12.
F. W. J. Olver. Voigt Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/7.19.
F. W. J. Olver and L. Maximon. Bessel Function of the First Kind. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/10.2#E2.
F. W. J. Olver and L. Maximon. Bessel Function of the Second Kind. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/10.2#E3.
L. Olver, F. W. J.; Maximon. Bessel Function Zeros. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/10.25#E2.
L. Olver, F. W. J.; Maximon. Hankel Functions. NIST Digital Library of Mathematical Functions, 2010. URL: http://dlmf.nist.gov/10.2.E5.
L. Olver, F. W. J.; Maximon. Kelvin Functions - Definitions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/10.61.
L. Olver, F. W. J.; Maximon. Modified Bessel Function of the First Kind. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/10.25#E2.
L. Olver, F. W. J.; Maximon. Modified Bessel Function of the Second Kind. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/10.25#E3.
L. Olver, F. W. J.; Maximon. Spherical Bessel Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/10.47.
L. Olver, F. W. J.; Maximon. Spherical Hankel Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/10.47.
Ooura, T. and Mori. M. The double exponential formula for oscillatory functions over the half infinite interval. Journal of Computational and Applied Mathematics, 38:353–360, 1991.
Ooura, T. and Mori. M. A robust double exponential formula for fourier-type integrals. Journal of computational and applied mathematics, 112:229–241, 1999.
T. Ooura. A double exponential formula for the fourier transforms. Publ. RIMS, Kyoto Univ., 41:971–977, 2005. Available as https://pdfs.semanticscholar.org/16ec/a5d76fd6b3d7acaaff0b2a6e8a70caa70190.pdf.
E. Orjebin. A recursive formula for the moments of a truncated univariate normal distribution. The School of Mathematics and Physics, The University of Queensland, Australia, 2014. URL: https://people.smp.uq.edu.au/YoniNazarathy/teaching_projects/studentWork/EricOrjebin_TruncatedNormalMoments.pdf.
D. B. Owen. Tables for computing bivariate normal probabilities. Ann. Math. Statist., 27:1075–1090, 1956. Available as http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdf_1&handle=euclid.aoms/1177728074.
D. B. Owen. A survey of properties and applications of the noncentral `t`-distribution. Technometrics, 10:445–478, 1968.
M. S Paolella. Fundamental Probability: A Computational Approach. Wiley & Sons, Inc., New York-London-Sydney-Toronto, 2006.
M. S Paolella. Intermediate Probability: A Computational Approach. Wiley & Sons, Inc., New York-London-Sydney-Toronto, 2007.
R. B. Paris. Anger–Weber Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/11.10.
R. B. Paris. Incomplete beta function. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/8.17.
R. B. Paris. Incomplete gamma function. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/8.2#i.
R. B. Paris. Lommel Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/11.9.
R. B. Paris. Struve and Modified Struve Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/11.2.
R. B. Paros. Generalized Exponential Integral. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/8.19.
M. Patefield and D. Tand. Fast and accurate calculation of owen’s t-function. Journal of Statistical Software, 2000. Available as http://www.jstatsoft.org/v05/i05/paper.
P. B. Patnaik. The noncentral `\chi ^2`and `F`-distributions and their applications. Biometrika, 36:202––232, 1949.
David B. Peizer and John W. Pratt. A normal approximation for binomial, `F`, beta, and other common, related tail probabilities. i (Ref: p1457-1483). Journal of the American Statistical Association, 63:1416–1456, 1968.
S. Penev and T. Raykov. A wiener germ approximation of the noncentral chi square distribution and of its quantiles. Computational Statistics, 15:219–228, 2000. Preprint available at http://www.researchgate.net/publication/2648631_A_Wiener_Germ_Approximation_of_the_Noncentral_Chi_Square_Distribution_and_of_Its_Quantiles.
L. Perreault, B. Bobée, and P. F. Rasmussen. Halphen distribution system i: mathematical and statistical properties. Journal of Hydrologic Engineering, 4:189–199, 1999.
L. Perreault, B. Bobée, and P. F. Rasmussen. Halphen distribution system ii: parameter and quantile estimation. Journal of Hydrologic Engineering, 4:200–208, 1999.
K. Petras. Self-validating integration and approximation of piecewise analytic functions. Journal of Computational and Applied Mathematics, 145:345 – 359, 2002.
K. Petras. Principles of verified numerical integration. Journal of Computational and Applied Mathematics, 199:317 – 328, 2007.
T. Pham-Gia. Exact distribution of the generalized wilks' statistic and applications. Journal of Multivariate Analysis, 99(8):1698–1716, 2008. Available at http://www.sciencedirect.com/science/article/pii/S0047259X08000249. URL: http://www.sciencedirect.com/science/article/pii/S0047259X08000249, doi:http://dx.doi.org/10.1016/j.jmva.2008.01.021.
R. Piessens, E. de Doncker-Kapenga, C.W. Überhuber, and D. Kahaner. QUADPACK: A subroutine package for automatic integration. Springer-Verlag, 1983. ISBN 978-3-540-12553-2. Public domain Fortran source: http://www.netlib.org/quadpack/.
K.C.S Pillai and Young. On the exact distribution of hotelling's generalized t2. Journal of Multivariate Analysis, 99:90–107, 1971.
J.F. Pires, A. H. M. A. Cysneiros, and F. Cribari-Netob. Improved inference for the generalized pareto distribution. Brazilian Journal of Probability and Statistics, 32:69–85, 2018. doi:http://dx.doi.org/10.1016/j.jmva.2008.01.021.
M. J. D. Powell. A hybrid method for nonlinear equations. Numerical methods for nonlinear algebraic equations, Philip Rabinowitz, editor, chapter 6, pages 87-114, Gordon and Breach Science Publishers, New York, 1970.
W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery. Numerical Recipes: The Art of Scientific Computing. Cambridge University Press, 3rd edition, 2007. Available from http://www.nr.com/.
J. Reig, V. M. Rodrigo Peñarrocha, L. Rubio, M. T. Martínez-Inglés, and J. M. Molina-García-Pardo. The folded normal distribution: a new model for the small-scale fading in line-of-sight (los) condition. IEEE Access, 7:77328–77339, 2019.
P. L. Reinhardt, W. P.; Walker. Jacobian Elliptic Functions - Definitions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/22.2.
P. L. Reinhardt, W. P.; Walker. Jacobi’s Amplitude(am) Function. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/22.16.
P. L. Reinhardt, W. P.; Walker. Theta Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/20.2.
M.I. Riffi. A generalized transmuted gompertz-makeham distribution. Journal of Scientific and Engineering Research, 5:252–266, 2018.
H. Rinne. Taschenbuch der Statistik. Frankfurt, M. : Deutsch, 4 edition, 2008.
M.M. Ristić, B.V. Popović, and S. Nadarajah. Libby and novick’s generalized beta exponential distribution. Journal of Statistical Computation and Simulation, 2013.
Pierre Robillard. Kendall's S Distribution with Ties in One Ranking. Journal of the American Statistical Association, 67(338):453–455, 1972. URL: http://www.tandfonline.com/doi/abs/10.1080/01621459.1972.10482409, arXiv:http://www.tandfonline.com/doi/pdf/10.1080/01621459.1972.10482409, doi:10.1080/01621459.1972.10482409.
R. N. Rodriguez. A guide to singh-maddala distributions. Biometrika, 64:129–134, 1977.
F.W.J. Roy, R.; Olver. Binomial Coefficients. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/1.2#i.
F.W.J. Roy, R.; Olver. Hyperbolic functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/4.28.
F.W.J. Roy, R.; Olver. Inverse Hyperbolic Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/4.37.
F.W.J. Roy, R.; Olver. Inverse Trigonometric Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/4.23.
F.W.J. Roy, R.; Olver. Lambert W-Function. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/4.13.
F.W.J. Roy, R.; Olver. Powers with General Bases. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/4.2#iv.
F.W.J. Roy, R.; Olver. The Exponential Function. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/4.2#iii.
F.W.J. Roy, R.; Olver. The Logarithm. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/4.2#i.
F.W.J. Roy, R.; Olver. Trigonometric functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/4.14.
H. Ruben. Some new results on the distribution of the sample correlation coefficient. Journal of the Royal Statistical Society, Series B, Methodological, 28:513–525, 1966.
S. M. Rump. Über die numerische auflösung von differentialgleichungen. Mathematische Annalen, Springer, 46(2):167–178, 1895.
S. M. Rump. Verification methods: rigorous results using floating-point arithmetic. Acta Numerica, 19:287–449, 2010.
E. Schröder. Über unendlich viele algorithmen zur auflösung der gleichungen. Mathematische Annalen, Springer, 2:317–365, 1870.
G.A.F. Seber. The non-central chi-square and beta distributions. Biometrika, 50:542–544, 1963.
R. A. Shorack. Recursive generation of the distribution of the mann-whitney-wilcoxon u-statistic under generalized lehmann alternatives. Annals of Mathematical Statistics, 37(1):284–286, 1966. Available at http://projecteuclid.org/euclid.aoms/1177699621.
R. A. Shorack. Tables of the distribution of the mann-whitney-wilcoxon u-statistic under lehmann alternatives. Technometrics, 9(4):666–677, 1967.
R.T. Short. Computation of rice and noncentral chi-squared probabilities. 2012. Available as http://www.mcs.anl.gov/ more/ANL8074a.pdf.
A. Sidi. Practical Extrapolation Methods: Theory and Applications. Cambridge Monographs on Applied and Computational Mathematics). Cambridge: Cambridge University Press., 2003.
J.H. Skillings. On the null distribution of Jonckheere's statistic used in two way models for ordered alternatives. Technometrics, 22:431–436, 1980.
L. J. Slater. Generalized hypergeometric functions, (chapter 6: “Bilateral Series”, pp. 180-189. Cambridge, UK: Cambridge University Press., 1966.
Kadry S. Smaili K., Kadri T. Hypoexponential distribution with different parameters. Applied Mathematics, 4:431–436, 2013.
B. Snow. The third moment of kendall's tau in normal samples. Biometrika, 49(1-2):177–183, 1962.
W.C. Soong. Exact simultaneous confidence intervals for multiple comparisons with the mean. Computational Statistics & Data Analysis, 37:33–47, 2001.
H. Stehfest. Algorithm 368: numerical inversion of laplace transforms. Communications of the ACM, 13(1):47–49, 1970.
M. R. Stoline and H. K. Ury. Tables of the studentized maximum modulus distribution and an application to multiple comparisons among means. Technometrics, 21(1):269–271, 1979. Article Stable url: http://www.jstor.org/stable/1268584.
Kathleen Subrahmaniam and Kocherlakota Subrahmaniam. Some extensions to miss f. n. david's tables of sample correlation coefficient: distribution function and percentiles. Sankhya, Series B, Indian Journal of Statistics, 45:75–147, 1983.
R. M. Sundrum. Moments of the rank correlation coefficient tau in the general case. Biometrika, 40(3/4):409–420, 1953. Article Stable url: http://www.jstor.org/stable/2333357.
R. M. Sundrum. A further approximation to the distribution of wilcoxon's statistic in the general case. Journal of the Royal Statistical Society. Series B (Methodological), 16(2):255–260, 1954. Article Stable url: http://www.jstor.org/stable/2984051, a draft manuscript as available at http://repository.lib.ncsu.edu/dr/bitstream/1840.4/2253/1/ISMS_1954_89.pdf.
H. Takahasi and M. Mori. Double exponential formulas for numerical integration. Publications of the Research Institute for Mathematical Sciences, Kyoto University, 9:721 – 741, 1974.
A. Talbot. The accurate numerical inversion of laplace transforms. IMA Journal of Applied Mathematics, 23(1):97, 1979.
J. Tang and A.K. Gupta. On the distribution of the product of independent beta random variables. Statistics & Probability Letters, 2:165–168, 1984.
V. E. Tarasov. Some identities with generalized hypergeometric functions. Appl. Math. Inf. Sci., 10:1729–1734, 2016.
R Core Team. The (non-central) Beta Distribution. The R Project for Statistical Computing, 2019. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Beta.
R Core Team. The (non-central) Chi-Squared Distribution. The R Project for Statistical Computing, 2019. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Chisquare.
R Core Team. The (non-central) F Distribution. The R Project for Statistical Computing, 2019. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/FDist.
R Core Team. The (non-central) Student t Distribution. The R Project for Statistical Computing, 2019. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/TDist.
R Core Team. The Beta Distribution. The R Project for Statistical Computing, 2019. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Beta.
R Core Team. The Cauchy Distribution. The R Project for Statistical Computing, 2019. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Cauchy.
R Core Team. The Chi-Squared Distribution. The R Project for Statistical Computing, 2019. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Chisquare.
R Core Team. The Exponential Distribution. The R Project for Statistical Computing, 2019. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Exponential.
R Core Team. The F Distribution. The R Project for Statistical Computing, 2019. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/FDist.
R Core Team. The Gamma Distribution. The R Project for Statistical Computing, 2019. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/GammaDist.
R Core Team. The Log Normal Distribution. The R Project for Statistical Computing, 2019. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Lognormal.
R Core Team. The Normal Distribution. The R Project for Statistical Computing, 2019. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Normal.
R Core Team. The Student t Distribution. The R Project for Statistical Computing, 2019. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/TDist.
R Core Team. Distribution of the Wilcoxon Rank Sum Statistic. The R Project for Statistical Computing, 2020. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Wilcoxon.
R Core Team. Distribution of the Wilcoxon Signed Rank Statistic. The R Project for Statistical Computing, 2020. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/SignRank.
R Core Team. The Binomial Distribution. The R Project for Statistical Computing, 2020. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Binomial.
R Core Team. The Geometric Distribution. The R Project for Statistical Computing, 2020. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Geometric.
R Core Team. The Hypergeometric Distribution. The R Project for Statistical Computing, 2020. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Hypergeometric.
R Core Team. The Negative Binomial Distribution. The R Project for Statistical Computing, 2020. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/NegBinomial.
R Core Team. The Poisson Distribution. The R Project for Statistical Computing, 2020. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Poisson.
R Core Team. The Studentized Range Distribution. The R Project for Statistical Computing, 2020. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Tukey.
R Core Team. The Uniform Distribution. The R Project for Statistical Computing, 2020. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Uniform.
R Core Team. The Weibull Distribution. The R Project for Statistical Computing, 2020. [Online; accessed 22-July-2024]. URL: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/Weibull.
The Mpmath Development Team. Auxiliary function Sincpi. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#sincpi.
The Mpmath Development Team. CDF of the normal distribution. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#ncdf.
The Mpmath Development Team. CosPi. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#cospi.
The Mpmath Development Team. Cosine. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#cos.
The Mpmath Development Team. Cube root. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#cbrt.
The Mpmath Development Team. Density of the normal distribution. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#npdf.
The Mpmath Development Team. Error Function complement erfc. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#erfc.
The Mpmath Development Team. Error Function erf. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#erf.
The Mpmath Development Team. Error Function erfi. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#erfi.
The Mpmath Development Team. Exponential Function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#exp.
The Mpmath Development Team. Exponential Function expm1. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#expm1.
The Mpmath Development Team. General incomplete beta function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#betainc.
The Mpmath Development Team. Incomplete gamma function, general form. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#gammainc.
The Mpmath Development Team. Inverse of the Error Function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#erfinv.
The Mpmath Development Team. Logarithm.function log1p. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#log1p.
The Mpmath Development Team. Logarithm.function, base 10. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#log10.
The Mpmath Development Team. Logarithm.function, base b. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#log.
The Mpmath Development Team. Logarithm.function, base e. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#ln.
The Mpmath Development Team. Power function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#power.
The Mpmath Development Team. SinPi. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#sinpi.
The Mpmath Development Team. Sine. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#sin.
The Mpmath Development Team. Square root. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2008. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#sqrt.
The Mpmath Development Team. Cosecant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#csc.
The Mpmath Development Team. Cotangent. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#cot.
The Mpmath Development Team. Hyperbolic Cosecant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hyperbolic.html#csch.
The Mpmath Development Team. Hyperbolic Cosine. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hyperbolic.html#cosh.
The Mpmath Development Team. Hyperbolic Cotangent. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hyperbolic.html#coth.
The Mpmath Development Team. Hyperbolic Secant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hyperbolic.html#sech.
The Mpmath Development Team. Hyperbolic Sine. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hyperbolic.html#sinh.
The Mpmath Development Team. Hyperbolic Tangent. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hyperbolic.html#tanh.
The Mpmath Development Team. Inverse Cosecant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#acsc.
The Mpmath Development Team. Inverse Cosine. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#acos.
The Mpmath Development Team. Inverse Cotangent. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#acot.
The Mpmath Development Team. Inverse Hyperbolic Cosecant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hyperbolic.html#acsch.
The Mpmath Development Team. Inverse Hyperbolic Cosine. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hyperbolic.html#acosh.
The Mpmath Development Team. Inverse Hyperbolic Cotangent. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hyperbolic.html#acoth.
The Mpmath Development Team. Inverse Hyperbolic Secant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hyperbolic.html#atanh.
The Mpmath Development Team. Inverse Hyperbolic Sine. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hyperbolic.html#asinh.
The Mpmath Development Team. Inverse Hyperbolic Tangent. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hyperbolic.html#atanh.
The Mpmath Development Team. Inverse Secant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#asec.
The Mpmath Development Team. Inverse Sine. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#asin.
The Mpmath Development Team. Inverse Tangent. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#atan.
The Mpmath Development Team. Secant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#sec.
The Mpmath Development Team. Tangent. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2009. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#tan.
The Mpmath Development Team. Bernoulli number. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/numtheory.html#bernoulli.
The Mpmath Development Team. Bernoulli number as fraction. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/numtheory.html#bernfrac.
The Mpmath Development Team. Bernoulli polynomial. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/numtheory.html#bernpoly.
The Mpmath Development Team. Bessel functions of the first kind. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#besselj.
The Mpmath Development Team. Bessel functions of the second kind. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#besselj.
The Mpmath Development Team. Beta Function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#loggamma.
The Mpmath Development Team. Binomial coefficient. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#binomial.
The Mpmath Development Team. Factorial. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#factorial-fac.
The Mpmath Development Team. Falling factorial. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#ff.
The Mpmath Development Team. Gamma Function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#gamma.
The Mpmath Development Team. Hypergeometric function 0F1. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#hyp0f1.
The Mpmath Development Team. Hypergeometric function 1F1 (Kummer). mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#hyp1f1.
The Mpmath Development Team. Hypergeometric function 2F1 (Gauss). mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#hyp1f1.
The Mpmath Development Team. Hypergeometric function U (Tricomi). mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#hyp1f1.
The Mpmath Development Team. Lambert W function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#lambert-w-function.
The Mpmath Development Team. LogGamma Function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#loggamma.
The Mpmath Development Team. Modified Bessel Function of the First Kind. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#besselj.
The Mpmath Development Team. Modified Bessel Function of the Second Kind. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#besselj.
The Mpmath Development Team. Polygamma function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#lambert-w-function.
The Mpmath Development Team. Reciprocal Gamma. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#rgamma.
The Mpmath Development Team. Rising factorial. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2010. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#rf.
The Mpmath Development Team. Apéry's Constant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/constants.html#apery-s-constant-apery.
The Mpmath Development Team. Arithmetic-Geometric Mean. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#agm.
The Mpmath Development Team. Base of natural logarithm. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/constants.html#base-of-the-natural-logarithm-e.
The Mpmath Development Team. Cardinal sine sinc. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#sinc.
The Mpmath Development Team. Catalan's Constant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/constants.html#catalan-s-constant-catalan.
The Mpmath Development Team. Degree constant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/constants.html#degree-degree.
The Mpmath Development Team. Digamma function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#psi-digamma.
The Mpmath Development Team. DoubleFactorial. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#fac2.
The Mpmath Development Team. Euler Number. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/numtheory.html#eulernum.
The Mpmath Development Team. Euler Polynomial. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/numtheory.html#eulerpoly.
The Mpmath Development Team. Euler-Mascheroni Constant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/constants.html#euler-s-constant-euler.
The Mpmath Development Team. Glaisher-Kinkelin Constant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/constants.html#glaisher-s-constant-glaisher.
The Mpmath Development Team. Golden Ratio. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/constants.html#golden-ratio-phi.
The Mpmath Development Team. Harmonic Number. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#harmonic.
The Mpmath Development Team. Hypotenuse. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#hypot.
The Mpmath Development Team. Inverse tangent (2 real arguments). mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#atan2.
The Mpmath Development Team. Khinchin's Constant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/constants.html#khinchin-s-constant-khinchin.
The Mpmath Development Team. Pi. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/constants.html#pi-pi.
The Mpmath Development Team. Power function powm1. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#powm1.
The Mpmath Development Team. Prime counting function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/numtheory.html#primepi2.
The Mpmath Development Team. Riemann Prime Counting Function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/numtheory.html#riemannr.
The Mpmath Development Team. Unit roots. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#unitroots.
The Mpmath Development Team. nth Root. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2011. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#root.
The Mpmath Development Team. Airy Ai Function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#airyai.
The Mpmath Development Team. Airy Bi Function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#airybi.
The Mpmath Development Team. Associated Legendre Polynomial Plm. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/orthogonal.html#legenp.
The Mpmath Development Team. Associated Legendre Polynomial Qlm. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/orthogonal.html#legenq.
The Mpmath Development Team. Barnes G-function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#barnesg.
The Mpmath Development Team. Chebyshev Polynomial of the First Kind. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/orthogonal.html#chebyt.
The Mpmath Development Team. Chebyshev Polynomial of the Second Kind. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/orthogonal.html#chebyu.
The Mpmath Development Team. Gegenbauer Polynomial. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/orthogonal.html#gegenbauer.
The Mpmath Development Team. Hankel Function H1. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#hankel1.
The Mpmath Development Team. Hankel Function H2. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#hankel2.
The Mpmath Development Team. Hermite Polynomial. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/orthogonal.html#hermite.
The Mpmath Development Team. Hyperfactorial. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#hyperfac.
The Mpmath Development Team. Jacobi Polynomial. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/orthogonal.html#jacobi.
The Mpmath Development Team. Laguerre Polynomial. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/orthogonal.html#laguerre-polynomials.
The Mpmath Development Team. Legendre Polynomial. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/orthogonal.html#legendre.
The Mpmath Development Team. Spherical Harmonic. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/orthogonal.html#spherical-harmonics.
The Mpmath Development Team. Superfactorial. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#superfac.
The Mpmath Development Team. Zeros of Airy Ai Function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#airyaizero.
The Mpmath Development Team. Zeros of Airy Bi Function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#airybizero.
The Mpmath Development Team. Zeros of Bessel Functions of the First Kind. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#besseljzero.
The Mpmath Development Team. Zeros of Bessel Functions of the Second Kind. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2012. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#besselyzero.
The Mpmath Development Team. Carlson Elliptic Integral RC. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#elliprc.
The Mpmath Development Team. Carlson Elliptic Integral RD. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#elliprd.
The Mpmath Development Team. Carlson Elliptic Integral RF. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#elliprf.
The Mpmath Development Team. Carlson Elliptic Integral RG. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#elliprg.
The Mpmath Development Team. Carlson Elliptic Integral RJ. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#elliprj.
The Mpmath Development Team. Chi. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#chi.
The Mpmath Development Team. Complete Elliptic Integral of the First Kind. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#ellipk.
The Mpmath Development Team. Complete Elliptic Integral of the Second Kind. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#ellipf.
The Mpmath Development Team. Cosine Integral. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#ci.
The Mpmath Development Team. Exponential Integral E1. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#e1.
The Mpmath Development Team. Exponential Integral Ei. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#ei.
The Mpmath Development Team. Exponential Integral En. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#expint.
The Mpmath Development Team. Fresnel Integral C. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#fresnelc.
The Mpmath Development Team. Fresnel Integral S. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#fresnels.
The Mpmath Development Team. General Elliptic Function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#ellipfun.
The Mpmath Development Team. Hypergeometric Function 2F0. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#hyp2f0.
The Mpmath Development Team. Incomplete Elliptic Integral of the Second Kind. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#ellipe.
The Mpmath Development Team. Incomplete Elliptic Integral of the Third Kind. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#ellippi.
The Mpmath Development Team. Logarithmic integral. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#li.
The Mpmath Development Team. Polylogarithm. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#polylog.
The Mpmath Development Team. Riemann and Hurwitz Zeta Function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#zeta.
The Mpmath Development Team. Shi. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#shi.
The Mpmath Development Team. Sine Integral. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2013. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/expintegrals.html#si.
The Mpmath Development Team. Absolute value of a number. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#fabs.
The Mpmath Development Team. Addition of numbers. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#fadd.
The Mpmath Development Team. Ceiling of a number. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#ceil.
The Mpmath Development Team. Complex argument (phase) of a number. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#arg.
The Mpmath Development Team. Complex conjugate of a number. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#conj.
The Mpmath Development Team. Complex number: conversion from polar coordinates. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#rect.
The Mpmath Development Team. Division of numbers. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#fdiv.
The Mpmath Development Team. Dot product of numbers. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#fdot.
The Mpmath Development Team. Floor of a number. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#floor.
The Mpmath Development Team. Imaginary part of a number. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#im.
The Mpmath Development Team. Modular division. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#fmod.
The Mpmath Development Team. Multiplication of numbers. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#fmul.
The Mpmath Development Team. Negation of numbers. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#fneg.
The Mpmath Development Team. Polar representation of a complex number. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#polar.
The Mpmath Development Team. Product of numbers. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#fprod.
The Mpmath Development Team. Real part of a number. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#re.
The Mpmath Development Team. Sign of a number. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#sign.
The Mpmath Development Team. Subtraction of numbers. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#fsub.
The Mpmath Development Team. Summation of numbers. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2014. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#fsum.
The Mpmath Development Team. Chopping off small real or imaginary parts of a number. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#chop.
The Mpmath Development Team. Elliptic half-period ratio tau. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#taufrom.
The Mpmath Development Team. Elliptic modulus k. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#mfrom.
The Mpmath Development Team. Elliptic nome q. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#qfrom.
The Mpmath Development Team. Elliptic parameter m. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#mfrom.
The Mpmath Development Team. Frexp. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#frexp.
The Mpmath Development Team. Generation of a list of evenly spaced real numbers. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#linspace.
The Mpmath Development Team. Generation of a list of real numbers. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#arange.
The Mpmath Development Team. Klein j-invariant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#kleinj.
The Mpmath Development Team. Ldexp. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#ldexp.
The Mpmath Development Team. Number-theoretic nome qbar. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/elliptic.html#qbarfrom.
The Mpmath Development Team. Random number. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#rand.
The Mpmath Development Team. Testing for NaN (not-a-number). mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#isnan.
The Mpmath Development Team. Testing if a number is finite. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#isfinite.
The Mpmath Development Team. Testing if a number is infinite. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#isinf.
The Mpmath Development Team. Testing if a number is integer-valued. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#isint.
The Mpmath Development Team. Testing if a number is normal. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#isnormal.
The Mpmath Development Team. Testing if numbers are almost equal. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2015. [Online; accessed 22-July-2024]. URL: https://mpmath.org/doc/1.1.0/general.html#almosteq.
The Mpmath Development Team. Backlund S function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#siegeltheta.
The Mpmath Development Team. Dirichlet L-Series. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#dirichlet.
The Mpmath Development Team. Dirichlet eta function (Alternating zeta function). mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#altzeta.
The Mpmath Development Team. Generalized Clausen cosine function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#clcos.
The Mpmath Development Team. Generalized Clausen sine function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#clsin.
The Mpmath Development Team. Lerch's transcendent. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#lerchphi.
The Mpmath Development Team. Mertens constant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#secondzeta.
The Mpmath Development Team. Number of zeros of the Riemann zeta function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#nzeros.
The Mpmath Development Team. Polyexponential function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#polyexp.
The Mpmath Development Team. Prime zeta function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#primezeta.
The Mpmath Development Team. Riemann-Siegel Z function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#siegelz.
The Mpmath Development Team. Riemann-Siegel theta function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#backlunds.
The Mpmath Development Team. Secondary zeta function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#secondzeta.
The Mpmath Development Team. Stirling number of the first kind. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/numtheory.html#stirling1.
The Mpmath Development Team. Stirling number of the second kind. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/numtheory.html#stirling2.
The Mpmath Development Team. Twin prime constant. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#secondzeta.
The Mpmath Development Team. Zeros of the Riemann zeta function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2016. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/zeta.html#zetazero.
The Mpmath Development Team. Cyclotomic polynomial. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/numtheory.html#cyclotomic.
The Mpmath Development Team. Degrees. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#degrees.
The Mpmath Development Team. Exponential function expj. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#expj.
The Mpmath Development Team. Exponential function expjpi. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/powers.html#expjpi.
The Mpmath Development Team. Hypergeometric q-series. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/qfunctions.html#qhyper.
The Mpmath Development Team. Kelvin function bei. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#bei.
The Mpmath Development Team. Kelvin function ber. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#ber.
The Mpmath Development Team. Kelvin function kei. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#kei.
The Mpmath Development Team. Kelvin function ker. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#ker.
The Mpmath Development Team. Limit of the product of gamma functions. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/gamma.html#gammaprod.
The Mpmath Development Team. Mangoldt function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/numtheory.html#mangoldt.
The Mpmath Development Team. Prime counting function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/numtheory.html#primepi.
The Mpmath Development Team. Radians. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/trigonometric.html#radians.
The Mpmath Development Team. Struve function H. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#struveh.
The Mpmath Development Team. Struve function L. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#struvel.
The Mpmath Development Team. q-Pochhammer symbol. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/qfunctions.html#qp.
The Mpmath Development Team. q-factorial. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/qfunctions.html#qfac.
The Mpmath Development Team. q-gamma function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2017. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/qfunctions.html#qgamma.
The Mpmath Development Team. Appell function F1. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#mpmath.appellf1.
The Mpmath Development Team. Appell function F2. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#mpmath.appellf2.
The Mpmath Development Team. Appell function F3. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#mpmath.appellf3.
The Mpmath Development Team. Appell function F4. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#mpmath.appellf4.
The Mpmath Development Team. Bilateral hypergeometric series. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#mpmath.bihyper.
The Mpmath Development Team. Coulomb wave function F. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#coulombf.
The Mpmath Development Team. Coulomb wave function G. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#coulombg.
The Mpmath Development Team. Generalized 2D hypergeometric series. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#mpmath.hyper2d.
The Mpmath Development Team. Generalized hypergeometric function 1F2. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#hyp1f2.
The Mpmath Development Team. Generalized hypergeometric function 2F2. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#hyp2f2.
The Mpmath Development Team. Generalized hypergeometric function 2F3. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#hyp2f3.
The Mpmath Development Team. Generalized hypergeometric function 3F2. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#hyp3f2.
The Mpmath Development Team. Generalized hypergeometric function pFq. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#hyper.
The Mpmath Development Team. Limit of a weighted combination of hypergeometric functions. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#hypercomb.
The Mpmath Development Team. Meijer G-function. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/hypergeometric.html#mpmath.meijerg.
The Mpmath Development Team. Normalizing Gamow constant for Coulomb wave functions. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#coulombc.
The Mpmath Development Team. Parabolic cylinder function D. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#pcfd.
The Mpmath Development Team. Parabolic cylinder function U. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#pcfu.
The Mpmath Development Team. Parabolic cylinder function V. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#pcfv.
The Mpmath Development Team. Parabolic cylinder function W. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#pcfw.
The Mpmath Development Team. Scorer function Gi. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#scorergi.
The Mpmath Development Team. Scorer function Hi. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#scorerhi.
The Mpmath Development Team. Whittaker function M. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#whitm.
The Mpmath Development Team. Whittaker function W. mpmath - a Python library for arbitrary-precision floating-point arithmetic, 2018. [Online; accessed 22-July-2024]. URL: http://mpmath.org/doc/1.1.0/functions/bessel.html#whitw.
The FLINT Team. Acb: Bernoulli polynomial (in: Zeta function). FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb.html#zeta-function.
The FLINT Team. Acb: Error functions and Fresnel integrals. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_hypgeom.html#error-functions-and-fresnel-integrals.
The FLINT Team. Acb: Exponentials and logarithms. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb.html#exponentials-and-logarithms.
The FLINT Team. Acb: Gamma function and factorials. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb.html#gamma-function.
The FLINT Team. Acb: Hyperbolic functions. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb.html#hyperbolic-functions.
The FLINT Team. Acb: Incomplete gamma and beta functions. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_hypgeom.html#incomplete-gamma-and-beta-functions.
The FLINT Team. Acb: Inverse hyperbolic functions. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb.html#inverse-hyperbolic-functions.
The FLINT Team. Acb: Inverse trigonometric functions. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb.html#inverse-trigonometric-functions.
The FLINT Team. Acb: Lambert W function. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb.html#lambert-w-function.
The FLINT Team. Acb: Powers and roots. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb.html#powers-and-roots.
The FLINT Team. Acb: Trigonometric functions. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb.html#trigonometric-functions.
The FLINT Team. Arb: Error functions and Fresnel integrals. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb_hypgeom.html#error-functions-and-fresnel-integrals.
The FLINT Team. Arb: Exponentials and logarithms. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb.html#exponentials-and-logarithms.
The FLINT Team. Arb: Gamma function and factorials. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb.html#gamma-function-and-factorials.
The FLINT Team. Arb: Hyperbolic functions. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb.html#hyperbolic-functions.
The FLINT Team. Arb: Incomplete gamma and beta functions. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb_hypgeom.html#incomplete-gamma-and-beta-functions.
The FLINT Team. Arb: Inverse hyperbolic functions. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb.html#inverse-hyperbolic-functions.
The FLINT Team. Arb: Inverse trigonometric functions. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb.html#inverse-trigonometric-functions.
The FLINT Team. Arb: Lambert W function. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb.html#lambert-w-function.
The FLINT Team. Arb: Powers and roots. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb.html#powers-and-roots.
The FLINT Team. Arb: Trigonometric functions. FLINT: Fast Library for Number Theory, 2019. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb.html#trigonometric-functions.
The FLINT Team. Acb: Bessel functions. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_hypgeom.html#bessel-functions.
The FLINT Team. Acb: Carlson symmetric elliptic integrals. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_elliptic.html#carlson-symmetric-elliptic-integrals.
The FLINT Team. Acb: Complete elliptic integrals. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_elliptic.html#complete-elliptic-integrals.
The FLINT Team. Acb: Confluent hypergeometric functions. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_hypgeom.html#confluent-hypergeometric-functions.
The FLINT Team. Acb: Gauss hypergeometric function. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_hypgeom.html#gauss-hypergeometric-function.
The FLINT Team. Acb: Jacobi theta functions. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_modular.html#jacobi-theta-functions.
The FLINT Team. Acb: Legendre incomplete elliptic integrals. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_elliptic.html#legendre-incomplete-elliptic-integrals.
The FLINT Team. Acb: Modified Bessel functions. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_hypgeom.html#bessel-functions.
The FLINT Team. Acb: Orthogonal polynomials and functions. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_hypgeom.html#orthogonal-polynomials-and-functions.
The FLINT Team. Arb: Bessel functions. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb_hypgeom.html#bessel-functions.
The FLINT Team. Arb: Confluent hypergeometric functions. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb_hypgeom.html#confluent-hypergeometric-functions.
The FLINT Team. Arb: Gauss hypergeometric function. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb_hypgeom.html#gauss-hypergeometric-function.
The FLINT Team. Arb: Orthogonal polynomials and functions. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb_hypgeom.html#orthogonal-polynomials-and-functions.
The FLINT Team. Arb: Other special functions: AGM. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb.html#other-special-functions.
The FLINT Team. Hurwitz zeta function. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. url: https://flintlib.org/doc/arb.html#zeta-function and https://flintlib.org/doc/acb_dirichlet.html#hurwitz-zeta-function.
The FLINT Team. Riemann zeta function. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_dirichlet.html#riemann-zeta-function.
The FLINT Team. Zeta function. FLINT: Fast Library for Number Theory, 2020. [Online; accessed 22-July-2024]. url: https://flintlib.org/doc/arb.html#zeta-function and https://flintlib.org/doc/acb.html#zeta-function.
The FLINT Team. Acb: Coulomb wave functions. FLINT: Fast Library for Number Theory, 2021. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_hypgeom.html#coulomb-wave-functions.
The FLINT Team. Acb: Dedekind eta function. FLINT: Fast Library for Number Theory, 2021. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_modular.html#dedekind-eta-function.
The FLINT Team. Acb: Exponential and trigonometric integrals. FLINT: Fast Library for Number Theory, 2021. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_hypgeom.html#exponential-and-trigonometric-integrals.
The FLINT Team. Acb: Hardy Z-functions. FLINT: Fast Library for Number Theory, 2021. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_dirichlet.html#hardy-z-functions.
The FLINT Team. Acb: Lerch transcendent. FLINT: Fast Library for Number Theory, 2021. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_dirichlet.html#lerch-transcendent.
The FLINT Team. Acb: Modular forms. FLINT: Fast Library for Number Theory, 2021. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_elliptic.html#weierstrass-elliptic-functions.
The FLINT Team. Acb: Riemann zeta function zeros. FLINT: Fast Library for Number Theory, 2021. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_dirichlet.html#riemann-zeta-function-zeros.
The FLINT Team. Acb: Weierstrass elliptic functions. FLINT: Fast Library for Number Theory, 2021. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/acb_elliptic.html#weierstrass-elliptic-functions.
The FLINT Team. Arb: Coulomb wave functions. FLINT: Fast Library for Number Theory, 2021. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb_hypgeom.html#coulomb-wave-functions.
The FLINT Team. Arb: Exponential and trigonometric integrals. FLINT: Fast Library for Number Theory, 2021. [Online; accessed 22-July-2024]. URL: https://flintlib.org/doc/arb_hypgeom.html#exponential-and-trigonometric-integrals.
The FLINT Team. Dilogarithm. FLINT: Fast Library for Number Theory, 2021. [Online; accessed 22-July-2024]. url: https://flintlib.org/doc/acb_hypgeom.html#dilogarithm and https://flintlib.org/doc/arb_hypgeom.html#dilogarithm.
The FLINT Team. Polylogarithms. FLINT: Fast Library for Number Theory, 2021. [Online; accessed 22-July-2024]. url: https://flintlib.org/doc/arb.html#polylogarithms and https://flintlib.org/doc/acb.html#polylogarithms.
N. M. Temme. Basic q-Hypergeometric Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/17.4.
N. M. Temme. Error Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/7.2#i.
N. M. Temme. Exponential and Logarithmic Integrals. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/6.2.
N. M. Temme. Fresnel Integrals. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/7.2#iii.
N. M. Temme. Hyperbolic Analogs of the Sine and Cosine Integrals. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/6.2#E16.
N. M. Temme. Logarithmic integral. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/6.2#E8.
N. M. Temme. Parabolic Cylinder Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/12.2.
N. M. Temme. Sine and Cosine Integrals. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/6.2#E11.
N. M. Temme. q-Factorials. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/5.18#i.
N. M. Temme. q-Gamma Function. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/5.18#ii.
I. J. Thompson. Coulomb Functions. NIST Digital Library of Mathematical Functions, 2010. URL: https://dlmf.nist.gov/33.
I.J. Thompson and A.R. Barnett. Coulomb and bessel functions of complex arguments and order. J. Comp. Phys., 1986.
M.L. Tiku. A note on approximating to the non-central f-distribution. Biometrika, 53:606–610, 1966.
Y. L. Tong. The multivariate normal distribution. Springer-Verlag, 1990.
A. Townsend, T. Trogdon, and S. Olver. Fast computation of gauss quadrature nodes and weights on the whole real line. IMA Journal of Numerical Analysis, 36(1):337–358, 2016. Article Stable url: https://doi.org/10.1093/imanum/drv002.
L. N. Trefethen. Is gauss quadrature better than clenshaw-curtis? SIAM Review, 50(1):67–87, 2008.
M. J. Tretter and G. W. Walster. Continued fractions for the incomplete beta function: additions and corrections. Ann. Stat., 7(2):462–465, 1979. Available at http://projecteuclid.org/euclid.aos/1176344629.
M. Tsagris, C. Beneki, and H. Hassani. On the folded normal distribution. Mathematics, 2(1):12–28, 2014.
M. A. vandeWiel. Exact distributions of distribution-free test statistics. eindhoven: technische universiteit eindhoven. 2000. Available as http://www.mcs.anl.gov/ more/ANL8074a.pdf.
A. Voros. Zeta functions for the riemann zeros. Ann. Institute Fourier, 53:665–699, 2003.
A. Voros. Zeta functions over Zeros of Zeta Functions. Lecture notes of the Unione Matematica Italiana, Springer, 2009.
C. Walck. Handbook on Statistical Distributions for experimentalists. University of Stockholm, Internal Report SUF-PFY/96–01, 2007. Available as http://www.stat.rice.edu/ dobelman/textfiles/DistributionsHandbook.pdf.
G. W. Walster and M. J. Tretter. Exact noncentral distributions of wilks' `\lambda ` and wilks-lawley u criteria as mixtures of incomplete beta functions: for three tests. Ann. Stat., 8(6):1388–1390, 1980. Available at http://projecteuclid.org/euclid.aos/1176345210.
S. Wang. One-step saddlepoint approximations for quantiles. Computational Statistics & Data Analysis, 20:65–74, 1995.
S. Wang and H.L. Gray. Approximating tail probabilities of noncentral distributions. Computational Statistics & Data Analysis, 15(3):343 – 352, 1993. Available at: http://www.sciencedirect.com/science/article/pii/016794739390261Q. URL: http://www.sciencedirect.com/science/article/pii/016794739390261Q, doi:http://dx.doi.org/10.1016/0167-9473(93)90261-Q.
E. Wegert. Visual Complex Functions - An Introduction with Phase Portraits. Birkhäuser Basel, 2012.
E. W. Weisstein. Beta Distribution. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/BetaDistribution.html.
E. W. Weisstein. Chi-Squared Distribution. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Chi-SquaredDistribution.html.
E. W. Weisstein. Correlation Coefficient–Bivariate Normal Distribution. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/CorrelationCoefficientBivariateNormalDistribution.html.
E. W. Weisstein. Cubic Formula. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/CubicFormula.html.
E. W. Weisstein. F-Distribution. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/F-Distribution.html.
E. W. Weisstein. Filon's Integration Formula. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/FilonsIntegrationFormula.html.
E. W. Weisstein. Gaussian Quadrature. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/GaussianQuadrature.html.
E. W. Weisstein. Halley's Method. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/HalleysMethod.html.
E. W. Weisstein. Hermite-Gauss Quadrature. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/Hermite-GaussQuadrature.html.
E. W. Weisstein. Jacobi-Gauss Quadrature. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/Jacobi-GaussQuadrature.html.
E. W. Weisstein. Laguerre-Gauss Quadrature. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/Laguerre-GaussQuadrature.html.
E. W. Weisstein. Legendre-Gauss Quadrature. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/Legendre-GaussQuadrature.html.
E. W. Weisstein. Newton's Method. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/NewtonsMethod.html.
E. W. Weisstein. Noncentral Chi-Squared Distribution. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/NoncentralChi-SquaredDistribution.html.
E. W. Weisstein. Noncentral F-Distribution. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/NoncentralF-Distribution.html.
E. W. Weisstein. Noncentral Student's t-Distribution. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/NoncentralStudentst-Distribution.html.
E. W. Weisstein. Quadratic Equation. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/QuadraticEquation.html.
E. W. Weisstein. Schröder's Method. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/SchroedersMethod.html.
E. W. Weisstein. Student's t-Distribution. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Studentst-Distribution.html.
E. W. Weisstein. Wynn's Epsilon Method. From MathWorld - A Wolfram Web Resource, 2004. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/WynnsEpsilonMethod.html.
E. W. Weisstein. Bernoulli Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/BernoulliDistribution.html.
E. W. Weisstein. Binomial Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/BinomialDistribution.html.
E. W. Weisstein. Cauchy Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/CauchyDistribution.html.
E. W. Weisstein. Chi Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ChiDistribution.html.
E. W. Weisstein. Exponential Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ExponentialDistribution.html.
E. W. Weisstein. Gamma Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/GammaDistribution.html.
E. W. Weisstein. Geometric Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/GeometricDistribution.html.
E. W. Weisstein. Gumbel Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/GumbelDistribution.html.
E. W. Weisstein. Half-Normal distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/Half-NormalDistribution.html.
E. W. Weisstein. Hypergeometric Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/HypergeometricDistribution.html.
E. W. Weisstein. Inverse Gaussian (or Wald) Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/InverseGaussianDistribution.html.
E. W. Weisstein. Laplace Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/LaplaceDistribution.html.
E. W. Weisstein. Log Normal Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/LogNormalDistribution.html.
E. W. Weisstein. Log-Series Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/Log-SeriesDistribution.html.
E. W. Weisstein. Logistic Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/LogisticDistribution.html.
E. W. Weisstein. Lévy Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/LevyDistribution.html.
E. W. Weisstein. Maxwell Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/MaxwellDistribution.html.
E. W. Weisstein. Negative Binomial Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/NegativeBinomialDistribution.html.
E. W. Weisstein. Normal Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/NormalDistribution.html.
E. W. Weisstein. Pareto Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ParetoDistribution.html.
E. W. Weisstein. Poisson Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/PoissonDistribution.html.
E. W. Weisstein. Rayleigh Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/RayleighDistribution.html.
E. W. Weisstein. Triangular Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/TriangularDistribution.html.
E. W. Weisstein. Uniform Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/UniformDistribution.html.
E. W. Weisstein. Weibull Distribution. From MathWorld - A Wolfram Web Resource, 2005. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/WeibullDistribution.html.
E. W. Weisstein. Binary Logarithm. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/BinaryLogarithm.html.
E. W. Weisstein. Common Logarithm. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/CommonLogarithm.html.
E. W. Weisstein. Cube Root. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/CubeRoot.html.
E. W. Weisstein. Erf. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Erf.html.
E. W. Weisstein. Erfc. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Erfc.html.
E. W. Weisstein. Erfi. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Erfi.html.
E. W. Weisstein. Exponential Function. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ExponentialFunction.html.
E. W. Weisstein. Incomplete Beta Function. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/IncompleteBetaFunction.html.
E. W. Weisstein. Incomplete Gamma Function. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/IncompleteGammaFunction.html.
E. W. Weisstein. Inverse Erf. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/InverseErf.html.
E. W. Weisstein. Inverse Erfc. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/InverseErfc.html.
E. W. Weisstein. Logarithm. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Logarithm.html.
E. W. Weisstein. Natural Logarithm. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/NaturalLogarithm.html.
E. W. Weisstein. Power. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Power.html.
E. W. Weisstein. Regularized Incomplete Beta Function. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/RegularizedBetaFunction.html.
E. W. Weisstein. Regularized Incomplete Gamma Function. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/RegularizedGammaFunction.html.
E. W. Weisstein. Square. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Square.html.
E. W. Weisstein. Square Root. From MathWorld - A Wolfram Web Resource, 2006. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/SquareRoot.html.
E. W. Weisstein. Cosecant. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Cosecant.html.
E. W. Weisstein. Cosine. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Cosine.html.
E. W. Weisstein. Cotangent. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Cotangent.html.
E. W. Weisstein. Hyperbolic Cosecant. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/HyperbolicCosecant.html.
E. W. Weisstein. Hyperbolic Cosine. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/HyperbolicCosine.html.
E. W. Weisstein. Hyperbolic Cotangent. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/HyperbolicCotangent.html.
E. W. Weisstein. Hyperbolic Secant. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/HyperbolicSecant.html.
E. W. Weisstein. Hyperbolic Sine. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/HyperbolicSine.html.
E. W. Weisstein. Hyperbolic Tangent. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/HyperbolicTangent.html.
E. W. Weisstein. Inverse Cosecant. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/InverseCosecant.html.
E. W. Weisstein. Inverse Cosine. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/InverseCosine.html.
E. W. Weisstein. Inverse Cotangent. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/InverseCotangent.html.
E. W. Weisstein. Inverse Secant. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/InverseSecant.html.
E. W. Weisstein. Inverse Sine. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/InverseSine.html.
E. W. Weisstein. Inverse Tangent. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/InverseTangent.html.
E. W. Weisstein. Secant. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Secant.html.
E. W. Weisstein. Sine. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Sine.html.
E. W. Weisstein. Tangent. From MathWorld - A Wolfram Web Resource, 2007. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Tangent.html.
E. W. Weisstein. Bernoulli Number. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/BernoulliNumber.html.
E. W. Weisstein. Bernoulli Polynomial. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/BernoulliPolynomial.html.
E. W. Weisstein. Bessel Function of the First Kind. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/BesselFunctionoftheFirstKind.html.
E. W. Weisstein. Bessel Function of the Second Kind. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/BesselFunctionoftheSecondKind.html.
E. W. Weisstein. Beta Function. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/BetaFunction.html.
E. W. Weisstein. Binomial coefficient. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/BinomialCoefficient.html.
E. W. Weisstein. Factorial. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Factorial.html.
E. W. Weisstein. Falling factorial. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/FallingFactorial.html.
E. W. Weisstein. Gamma Function. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/GammaFunction.html.
E. W. Weisstein. Inverse Hyperbolic Cosecant. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/InverseHyperbolicCosecant.html.
E. W. Weisstein. Inverse Hyperbolic Cosine. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/InverseHyperbolicCosine.html.
E. W. Weisstein. Inverse Hyperbolic Cotangent. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/InverseHyperbolicCotangent.html.
E. W. Weisstein. Inverse Hyperbolic Secant. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/InverseHyperbolicSecant.html.
E. W. Weisstein. Inverse Hyperbolic Sine. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/InverseHyperbolicSine.html.
E. W. Weisstein. Inverse Hyperbolic Tangent. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/InverseHyperbolicTangent.html.
E. W. Weisstein. Lambert W-Function. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/LambertW-Function.html.
E. W. Weisstein. LogGamma Function. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/LogGammaFunction.html.
E. W. Weisstein. Polygamma Function. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/PolygammaFunction.html.
E. W. Weisstein. Reciprocal Gamma Function. From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/GammaFunction.html.
E. W. Weisstein. Rising factorial (Pochhammer's Symbol). From MathWorld - A Wolfram Web Resource, 2008. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/RisingFactorial.html.
E. W. Weisstein. (Gauss) Hypergeometric Function. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/HypergeometricFunction.html.
E. W. Weisstein. Apéry's Constant. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/AperysConstant.html.
E. W. Weisstein. Catalan's Constant. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/CatalansConstant.html.
E. W. Weisstein. Confluent Hypergeometric Function of the First Kind. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ConfluentHypergeometricFunctionoftheFirstKind.html.
E. W. Weisstein. Confluent Hypergeometric Function of the Second Kind. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ConfluentHypergeometricFunctionoftheSecondKind.html.
E. W. Weisstein. Confluent Hypergeometric Limit Function. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ConfluentHypergeometricLimitFunction.html.
E. W. Weisstein. Degree/Radian. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Radian.html.
E. W. Weisstein. Euler-Mascheroni Constant. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Euler-MascheroniConstant.html.
E. W. Weisstein. Glaisher-Kinkelin Constant. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Glaisher-KinkelinConstant.html.
E. W. Weisstein. Golden Ratio. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/GoldenRatio.html.
E. W. Weisstein. Khinchin's Constant. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/KhinchinsConstant.html.
E. W. Weisstein. Modified Bessel Function of the First Kind. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ModifiedBesselFunctionoftheFirstKind.html.
E. W. Weisstein. Modified Bessel Function of the Second Kind. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ModifiedBesselFunctionoftheSecondKind.html.
E. W. Weisstein. Natural Logarithm of 10. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/NaturalLogarithmof10.html.
E. W. Weisstein. Natural Logarithm of 2. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/NaturalLogarithmof2.html.
E. W. Weisstein. Pi. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Pi.html.
E. W. Weisstein. e. From MathWorld - A Wolfram Web Resource, 2009. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/e.html.
E. W. Weisstein. Arithmetic-Geometric Mean. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Arithmetic-GeometricMean.html.
E. W. Weisstein. Barnes G-function. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/BarnesG-Function.html.
E. W. Weisstein. Chebyshev Polynomial of the First Kind. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ChebyshevPolynomialoftheFirstKind.html.
E. W. Weisstein. Chebyshev Polynomial of the Second Kind. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ChebyshevPolynomialoftheFirstKind.html.
E. W. Weisstein. Digamma Function. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/DigammaFunction.html.
E. W. Weisstein. DoubleFactorial. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/DoubleFactorial.html.
E. W. Weisstein. Euler Number. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/EulerNumber.html.
E. W. Weisstein. Euler Polynomial. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/EulerPolynomial.html.
E. W. Weisstein. Gegenbauer Polynomial. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/GegenbauerPolynomial.html.
E. W. Weisstein. Generalized Harmonic Numbers. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/HarmonicNumber.html.
E. W. Weisstein. Harmonic Numbers. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/HarmonicNumber.html.
E. W. Weisstein. Hermite Polynomial. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/HermitePolynomial.html.
E. W. Weisstein. Hyperfactorial. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Hyperfactorial.html.
E. W. Weisstein. Jacobi Polynomial. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/JacobiPolynomial.html.
E. W. Weisstein. Laguerre Polynomial. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/LaguerrePolynomial.html.
E. W. Weisstein. Legendre Function of the Second Kind Q. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/LegendreFunctionoftheSecondKind.html.
E. W. Weisstein. Legendre Polynomial P. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/LegendrePolynomial.html.
E. W. Weisstein. Logarithm of the Barnes G-function. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/BarnesG-Function.html.
E. W. Weisstein. Prime Counting Function. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/PrimeCountingFunction.html.
E. W. Weisstein. Riemann Prime Counting Function. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/RiemannPrimeCountingFunction.html.
E. W. Weisstein. Root of Unity. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/RootofUnity.html.
E. W. Weisstein. Sinc Function. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/SincFunction.html.
E. W. Weisstein. Spherical Harmonic. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/SphericalHarmonic.html.
E. W. Weisstein. Superfactorial. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Superfactorial.html.
E. W. Weisstein. Trigamma Function. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/TrigammaFunction.html.
E. W. Weisstein. nth Root. From MathWorld - A Wolfram Web Resource, 2010. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/nthRoot.html.
E. W. Weisstein. Airy Functions. From MathWorld - A Wolfram Web Resource, 2011. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/AiryFunctions.html.
E. W. Weisstein. Hankel Function of the First Kind. From MathWorld - A Wolfram Web Resource, 2011. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/HankelFunctionoftheFirstKind.html.
E. W. Weisstein. Hankel Function of the Second Kind. From MathWorld - A Wolfram Web Resource, 2011. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/HankelFunctionoftheSecondKind.html.
E. W. Weisstein. Modified Spherical Bessel Function of the First Kind. From MathWorld - A Wolfram Web Resource, 2011. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/ModifiedSphericalBesselFunctionoftheFirstKind.html.
E. W. Weisstein. Modified Spherical Bessel Function of the Second Kind. From MathWorld - A Wolfram Web Resource, 2011. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/ModifiedSphericalBesselFunctionoftheSecondKind.html.
E. W. Weisstein. Spherical Bessel Function of the First Kind. From MathWorld - A Wolfram Web Resource, 2011. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/SphericalBesselFunctionoftheFirstKind.html.
E. W. Weisstein. Spherical Bessel Function of the Second Kind. From MathWorld - A Wolfram Web Resource, 2011. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/SphericalBesselFunctionoftheSecondKind.html.
E. W. Weisstein. Spherical Hankel Function of the First Kind. From MathWorld - A Wolfram Web Resource, 2011. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/SphericalHankelFunctionoftheFirstKind.html.
E. W. Weisstein. Zeros of the Airy function Ai. From MathWorld - A Wolfram Web Resource, 2011. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/AiryFunctionZeros.html.
E. W. Weisstein. Zeros of the Airy function Bi. From MathWorld - A Wolfram Web Resource, 2011. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/AiryFunctionZeros.html.
E. W. Weisstein. Zeros of the Bessel function of the first kind. From MathWorld - A Wolfram Web Resource, 2011. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/BesselFunctionZeros.html.
E. W. Weisstein. Zeros of the Bessel function of the second kind. From MathWorld - A Wolfram Web Resource, 2011. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/BesselFunctionZeros.html.
E. W. Weisstein. Bose-Einstein Distribution. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/Bose-EinsteinDistribution.html.
E. W. Weisstein. Complete Elliptic Integral of the First Kind. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/CompleteEllipticIntegraloftheFirstKind.html.
E. W. Weisstein. Complete Elliptic Integral of the Second Kind. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/CompleteEllipticIntegraloftheSecondKind.html.
E. W. Weisstein. Complete Elliptic Integral of the Third Kind. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/EllipticIntegraloftheThirdKind.html.
E. W. Weisstein. Dilogarithm. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Dilogarithm.html.
E. W. Weisstein. Elliptic Function. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/EllipticFunction.html.
E. W. Weisstein. Fermi-Dirac Distribution. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/Fermi-DiracDistribution.html.
E. W. Weisstein. Generalized Hypergeometric Function. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/GeneralizedHypergeometricFunction.html.
E. W. Weisstein. Heuman Lambda Function. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/JacobiZetaFunction.html.
E. W. Weisstein. Hurwitz Zeta Function. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/RiemannZetaFunction.html.
E. W. Weisstein. Incomplete Elliptic Integral of the First Kind. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/EllipticIntegraloftheFirstKind.html.
E. W. Weisstein. Incomplete Elliptic Integral of the Second Kind. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/EllipticIntegraloftheSecondKind.html.
E. W. Weisstein. Incomplete Elliptic Integral of the Third Kind. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/EllipticIntegraloftheThirdKind.html.
E. W. Weisstein. Inverse tangent integral. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/InverseTangentIntegral.html.
E. W. Weisstein. Jacobi Elliptic Functions. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/JacobiEllipticFunctions.html.
E. W. Weisstein. Jacobi Theta Functions. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/JacobiThetaFunctions.html.
E. W. Weisstein. Jacobi Zeta Function. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/JacobiZetaFunction.html.
E. W. Weisstein. Legendre's chi function. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/LegendresChi-Function.html.
E. W. Weisstein. Lemniscate Function. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/LemniscateFunction.html.
E. W. Weisstein. Polylogarithm. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Polylogarithm.html.
E. W. Weisstein. Riemann Zeta Function. From MathWorld - A Wolfram Web Resource, 2012. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/RiemannZetaFunction.html.
E. W. Weisstein. Catalan Number. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/CatalanNumber.html.
E. W. Weisstein. Cosine Integral. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/CosineIntegral.html.
E. W. Weisstein. Dawson's Integral. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/DawsonsIntegral.html.
E. W. Weisstein. Dedekind Eta Function. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/DedekindEtaFunction.html.
E. W. Weisstein. Dirichlet Beta Function. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/DirichletBetaFunction.html.
E. W. Weisstein. Elliptic Lambda Function. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/EllipticLambdaFunction.html.
E. W. Weisstein. Erfc Differential Equation. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/ErfcDifferentialEquation.html.
E. W. Weisstein. Exponential Integral Ei. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ExponentialIntegral.html.
E. W. Weisstein. Exponential Integral En. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/En-Function.html.
E. W. Weisstein. Fresnel Integral C. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/FresnelIntegrals.html. Wolfram Language Documentation : https://reference.wolfram.com/language/ref/FresnelC.html.
E. W. Weisstein. Fresnel Integral S. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/FresnelIntegrals.html. Wolfram Language Documentation : https://reference.wolfram.com/language/ref/FresnelS.html.
E. W. Weisstein. Gudermannian function. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/Gudermannian.html.
E. W. Weisstein. Haversine. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/Haversine.html.
E. W. Weisstein. Hyperbolic Cosine Integral. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Chi.html.
E. W. Weisstein. Hyperbolic Sine Integral. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Shi.html.
E. W. Weisstein. Inverse Gudermannian function. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/InverseGudermannian.html.
E. W. Weisstein. Inverse Haversine. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/InverseHaversine.html.
E. W. Weisstein. Inverse of Weierstrass Elliptic Function. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/WeierstrassEllipticFunction.html.
E. W. Weisstein. Logarithmic integral. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/LogarithmicIntegral.html.
E. W. Weisstein. Modular Discriminant. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/ModularDiscriminant.html.
E. W. Weisstein. Sine Integral. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/SineIntegral.html.
E. W. Weisstein. Weierstrass Elliptic Function. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/WeierstrassEllipticFunction.html.
E. W. Weisstein. Weierstrass Elliptic Function, First derivative. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/WeierstrassEllipticFunction.html.
E. W. Weisstein. Weierstrass Sigma. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/WeierstrassSigmaFunction.html.
E. W. Weisstein. Weierstrass Zeta Function. From MathWorld - A Wolfram Web Resource, 2013. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/WeierstrassZetaFunction.html.
E. W. Weisstein. Debye Functions. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/DebyeFunctions.html.
E. W. Weisstein. Dirichlet Eta Function. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/DirichletEtaFunction.html.
E. W. Weisstein. Dirichlet L-Series. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/DirichletL-Series.html.
E. W. Weisstein. Dirichlet Lambda function. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/DirichletLambdaFunction.html.
E. W. Weisstein. Elliptic Modulus k. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/EllipticModulus.html.
E. W. Weisstein. Elliptic Nome q. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Nome.html.
E. W. Weisstein. Elliptic parameter m. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Parameter.html.
E. W. Weisstein. Fibonacci Number. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/FibonacciNumber.html.
E. W. Weisstein. Fibonacci Polynomials. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Fibonacci_polynomials.
E. W. Weisstein. Half-Period Ratio tau. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Half-PeriodRatio.html.
E. W. Weisstein. Jacobi Amplitude. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/JacobiAmplitude.html.
E. W. Weisstein. Klein's Absolute Invariant. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/KleinsAbsoluteInvariant.html.
E. W. Weisstein. Lerch Transcendent. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/LerchTranscendent.html.
E. W. Weisstein. Logistic_function (Sigmoid Function). From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/SigmoidFunction.html.
E. W. Weisstein. Logit Transformation. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/LogitTransformation.html.
E. W. Weisstein. Lucas Number. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/LucasNumber.html.
E. W. Weisstein. Lucas Polynomials. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/LucasPolynomial.html.
E. W. Weisstein. Marcum Q function. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/MarcumQ-Function.html.
E. W. Weisstein. Owen's T function. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/OwenT-Function.html.
E. W. Weisstein. Riemann Xi. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/Xi-Function.html.
E. W. Weisstein. Riemann Zeta Function Zeros. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/RiemannZetaFunctionZeros.html.
E. W. Weisstein. Riemann-Siegel Function Theta. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/Riemann-SiegelFunctions.html. Wolfram Language Documentation : https://reference.wolfram.com/language/ref/RiemannSiegelTheta.html.
E. W. Weisstein. Riemann-Siegel Function Z. From MathWorld - A Wolfram Web Resource, 2014. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/Riemann-SiegelFunctions.html. Wolfram Language Documentation : https://reference.wolfram.com/language/ref/RiemannSiegelZ.html.
E. W. Weisstein. Anger Function J. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/AngerFunction.html.
E. W. Weisstein. Cis. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/Cis.html.
E. W. Weisstein. Clausen Function. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ClausenFunction.html.
E. W. Weisstein. Cyclotomic Polynomial. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/CyclotomicPolynomial.html.
E. W. Weisstein. Kelvin Function Bei. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Bei.html.
E. W. Weisstein. Kelvin Function Ber. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Ber.html.
E. W. Weisstein. Kelvin Function Kei. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Kei.html.
E. W. Weisstein. Kelvin Function Ker. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/Ker.html.
E. W. Weisstein. Mangoldt Function. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/MangoldtFunction.html.
E. W. Weisstein. Mertens Constant. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/MertensConstant.html.
E. W. Weisstein. Modified Struve Function L. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ModifiedStruveFunction.html.
E. W. Weisstein. Prime Zeta Function. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/PrimeZetaFunction.html.
E. W. Weisstein. Stirling Number of the First Kind. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/StirlingNumberoftheFirstKind.html.
E. W. Weisstein. Stirling Number of the Second Kind. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/StirlingNumberoftheSecondKind.html.
E. W. Weisstein. Struve Function H. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/StruveFunction.html.
E. W. Weisstein. Twin Primes Constant. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/TwinPrimesConstant.html.
E. W. Weisstein. Weber Function E. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/WeberFunctions.html.
E. W. Weisstein. q-Factorial. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/q-Factorial.html.
E. W. Weisstein. q-Gamma Function. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/q-GammaFunction.html.
E. W. Weisstein. q-Hypergeometric Function. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/q-HypergeometricFunction.html.
E. W. Weisstein. q-Pochhammer Symbol. From MathWorld - A Wolfram Web Resource, 2015. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/q-PochhammerSymbol.html.
E. W. Weisstein. Appell Hypergeometric Function. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/AppellHypergeometricFunction.html.
E. W. Weisstein. Coulomb Wave Function. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/CoulombWaveFunction.html.
E. W. Weisstein. Double Series. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/DoubleSeries.html.
E. W. Weisstein. Generalized Hypergeometric Function 1F2. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/GeneralizedHypergeometricFunction.html.
E. W. Weisstein. Generalized Hypergeometric Function 2F2. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/GeneralizedHypergeometricFunction.html.
E. W. Weisstein. Generalized Hypergeometric Function 2F3. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/GeneralizedHypergeometricFunction.html.
E. W. Weisstein. Generalized Hypergeometric Function 3F2. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/GeneralizedHypergeometricFunction.html.
E. W. Weisstein. Generalized Hypergeometric Function pFq. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/GeneralizedHypergeometricFunction.html.
E. W. Weisstein. Horn Function. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/HornFunction.html.
E. W. Weisstein. Infinite Product. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/InfiniteProduct.html.
E. W. Weisstein. Lommel Function. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/LommelFunction.html.
E. W. Weisstein. Madelung Constants. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/MadelungConstants.html.
E. W. Weisstein. Meijer G-Function. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/MeijerG-Function.html.
E. W. Weisstein. Parabolic Cylinder Functions. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/ParabolicCylinderFunction.html.
E. W. Weisstein. Scorer Function Gi. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/AiryFunctions.html. Wolfram Language Documentation : https://reference.wolfram.com/language/ref/ScorerGi.html.
E. W. Weisstein. Scorer Function Hi. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/AiryFunctions.html. Wolfram Language Documentation : https://reference.wolfram.com/language/ref/ScorerHi.html.
E. W. Weisstein. Whittaker Function M. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/WhittakerFunction.html. . Wolfram Language Documentation : https://reference.wolfram.com/language/ref/WhittakerM.html.
E. W. Weisstein. Whittaker Function W. From MathWorld - A Wolfram Web Resource, 2016. [Online; accessed 22-July-2024]. URL: http://mathworld.wolfram.com/WhittakerFunction.html. . Wolfram Language Documentation : https://reference.wolfram.com/language/ref/WhittakerW.html.
E. W. Weisstein. Circle. From MathWorld - A Wolfram Web Resource, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Circle.html.
E. W. Weisstein. Cycloid. From MathWorld - A Wolfram Web Resource, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Cycloid.html.
E. W. Weisstein. Ellipse. From MathWorld - A Wolfram Web Resource, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Ellipse.html.
E. W. Weisstein. Epicycloid. From MathWorld - A Wolfram Web Resource, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Epicycloid.html.
E. W. Weisstein. Epitrochoid. From MathWorld - A Wolfram Web Resource, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Epitrochoid.html.
E. W. Weisstein. Fish curve. From MathWorld - A Wolfram Web Resource, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/FishCurve.html.
E. W. Weisstein. Heart curve. From MathWorld - A Wolfram Web Resource, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/HeartCurve.html.
E. W. Weisstein. Hypocycloid. From MathWorld - A Wolfram Web Resource, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Hypocycloid.html.
E. W. Weisstein. Hypotrochoid. From MathWorld - A Wolfram Web Resource, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Hypotrochoid.html.
E. W. Weisstein. Lemniscate of Bernoulli. From MathWorld - A Wolfram Web Resource, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Lemniscate.html.
E. W. Weisstein. Lemniscate of Gerono. From MathWorld - A Wolfram Web Resource, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/EightCurve.html.
E. W. Weisstein. Lissajous curve. From MathWorld - A Wolfram Web Resource, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/LissajousCurve.html.
E. W. Weisstein. Superellipse (Lamé curve). From MathWorld - A Wolfram Web Resource, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Superellipse.html.
E. W. Weisstein. Trochoid. From MathWorld - A Wolfram Web Resource, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Trochoid.html.
E. W. Weisstein. Archimedes Spiral. From MathWorld - A Wolfram Web Resource, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/ArchimedeanSpiral.html.
E. W. Weisstein. Butterfly curve. From MathWorld - A Wolfram Web Resource, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/ButterflyCurve.html.
E. W. Weisstein. Cardioid. From MathWorld - A Wolfram Web Resource, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Cardioid.html.
E. W. Weisstein. Conchoid of de Sluze. From MathWorld - A Wolfram Web Resource, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/ConchoidofdeSluze.html.
E. W. Weisstein. Cycloid of Ceva. From MathWorld - A Wolfram Web Resource, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/CycloidofCeva.html.
E. W. Weisstein. Epispiral. From MathWorld - A Wolfram Web Resource, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Epispiral.html.
E. W. Weisstein. Fermat's Spiral. From MathWorld - A Wolfram Web Resource, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/FermatsSpiral.html.
E. W. Weisstein. Freeth's Nephroid. From MathWorld - A Wolfram Web Resource, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/FreethsNephroid.html.
E. W. Weisstein. Hyperbolic Spiral. From MathWorld - A Wolfram Web Resource, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/HyperbolicSpiral.html.
E. W. Weisstein. Limaçon curve. From MathWorld - A Wolfram Web Resource, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Limacon.html.
E. W. Weisstein. Lituus. From MathWorld - A Wolfram Web Resource, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Lituus.html.
E. W. Weisstein. Logarithmic Spiral. From MathWorld - A Wolfram Web Resource, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Logarithmic_spiral.
E. W. Weisstein. Rose curve. From MathWorld - A Wolfram Web Resource, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/RoseCurve.html.
E. W. Weisstein. Strophoid. From MathWorld - A Wolfram Web Resource, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Strophoid.html.
E. W. Weisstein. One-Sheeted Hyperboloid. From MathWorld - A Wolfram Web Resource, 2020. [Online; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/One-SheetedHyperboloid.html.
E. W. Weisstein. Acnode. From MathWorld - A Wolfram Web Resource, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Acnode.html.
E. W. Weisstein. Cissoid. From MathWorld - A Wolfram Web Resource, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Cissoid.html.
E. W. Weisstein. Cornu Spiral. From MathWorld - A Wolfram Web Resource, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/CornuSpiral.html.
E. W. Weisstein. Cotes' Spiral. From MathWorld - A Wolfram Web Resource, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/CotesSpiral.html.
E. W. Weisstein. Crunode. From MathWorld - A Wolfram Web Resource, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Crunode.html.
E. W. Weisstein. Cusp. From MathWorld - A Wolfram Web Resource, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/Cusp.html.
E. W. Weisstein. Maclaurin Trisectrix. From MathWorld - A Wolfram Web Resource, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/MaclaurinTrisectrix.html.
E. W. Weisstein. Nielsen's_spiral. From MathWorld - A Wolfram Web Resource, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/NielsensSpiral.html.
E. W. Weisstein. Poinsot's Spirals. From MathWorld - A Wolfram Web Resource, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/PoinsotsSpirals.html.
E.J. Weniger. Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series. Computer Physics Reports, 10(5-6):189–371, 1989. URL: https://arxiv.org/abs/math/0306302.
Whittaker and Watson. A Course of Modern Analysis. Cambridge University Press, 4th edition, 1927.
D. Widder. The Laplace Transform. Princeton, 1941.
P. Wieschollek. Cppoptimizationlibrary. 2016. Available as PatWie/CppNumericalSolvers.
Wikipedia. Adaptive quadrature. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Adaptive_quadrature.
Wikipedia. Anderson–Björck algorithm. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Regula_falsi#Anderson%E2%80%93Bj%C3%B6rck_algorithm.
Wikipedia. Bell polynomials. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Bell_polynomials.
Wikipedia. Bisection method. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Bisection_method.
Wikipedia. Brent's method. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Brent%27s_method.
Wikipedia. Cornish-Fisher expansion. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Cornish-Fisher_expansion.
Wikipedia. Cubic equation. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Cubic_equation.
Wikipedia. Durand-Kerner method. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Durand%E2%80%93Kerner_method.
Wikipedia. Edgeworth_series. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Edgeworth_series#The_Edgeworth_series.
Wikipedia. Halley's method. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Halley%27s_method.
Wikipedia. Illinois_algorithm. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Regula_falsi#The_Illinois_algorithm.
Wikipedia. Muller's method. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: http://en.wikipedia.org/wiki/Muller's_method.
Wikipedia. Newton's method. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Newton%27s_method.
Wikipedia. Numerical integration. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Numerical_integration.
Wikipedia. QUADPACK. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/QUADPACK.
Wikipedia. Quadratic equation. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Quadratic_equation.
Wikipedia. Quartic equation. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Quartic_equation.
Wikipedia. Ridders' method. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Ridders%27_method.
Wikipedia. Secant method. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Secant_method.
Wikipedia. Steffensen's method. Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Steffensen%27s_method.
Wikipedia. Truncation error (numerical integration). Wikimedia Foundation, 2004. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Truncation_error_(numerical_integration).
Wikipedia. BulirschStoer algorithm. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Bulirsch%E2%80%93Stoer_algorithm.
Wikipedia. Cash-Karp method. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Cash%E2%80%93Karp_method.
Wikipedia. Clenshaw-Curtis quadrature. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Clenshaw%E2%80%93Curtis_quadrature.
Wikipedia. Dormand-Prince method. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Dormand%E2%80%93Prince_method.
Wikipedia. Families of multistep methods. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Linear_multistep_method#Families_of_multistep_methods.
Wikipedia. Gauss-Hermite quadrature. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Gauss%E2%80%93Hermite_quadrature.
Wikipedia. Gauss-Jacobi quadrature. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Gauss%E2%80%93Jacobi_quadrature.
Wikipedia. Gauss-Kronrod quadrature formula. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Gauss%E2%80%93Kronrod_quadrature_formula.
Wikipedia. Gauss-Laguerre quadrature. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Gauss%E2%80%93Laguerre_quadrature.
Wikipedia. Gauss-Legendre quadrature. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Gauss%E2%80%93Legendre_quadrature.
Wikipedia. Initial value problem. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Initial_value_problem.
Wikipedia. Richardson extrapolation. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Richardson_extrapolation.
Wikipedia. Runge-Kutta methods. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods.
Wikipedia. Runge-Kutta-Fehlberg method. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta%E2%80%93Fehlberg_method.
Wikipedia. Series acceleration. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Series_acceleration.
Wikipedia. Shanks transformation. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Shanks_transformation.
Wikipedia. Tanh-sinh quadrature. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Tanh-sinh_quadrature.
Wikipedia. Trapezoidal rule. Wikimedia Foundation, 2005. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Trapezoidal_rule.
Wikipedia. Characteristic function (probability theory). Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Characteristic_function_(probability_theory).
Wikipedia. Cumulant. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Cumulant#Definition.
Wikipedia. Cumulative distribution function. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Cumulative_distribution_function.
Wikipedia. Excess kurtosis. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Kurtosis#Excess_kurtosis.
Wikipedia. Expected value. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Expected_value.
Wikipedia. Fat-tailed distribution. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Fat-tailed_distribution.
Wikipedia. Hazard function and cumulative hazard function. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Survival_analysis#Hazard_function_and_cumulative_hazard_function.
Wikipedia. Heavy-tailed distribution. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Heavy-tailed_distribution.
Wikipedia. Inverse functions and differentiation. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Inverse_functions_and_differentiation.
Wikipedia. Kurtosis. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Kurtosis.
Wikipedia. Median. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Median.
Wikipedia. Mode (statistics). Wikipedia. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Mode_(statistics).
Wikipedia. Moment (mathematics). Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Saddlepoint_approximation_method.
Wikipedia. Moment-generating function. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Moment-generating_function.
Wikipedia. Probability density function. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Probability_density_function.
Wikipedia. Probability distribution. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Probability_distribution.
Wikipedia. Quantile function. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Quantile_function.
Wikipedia. Saddlepoint approximation method. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Saddlepoint_approximation_method.
Wikipedia. Skewness. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Skewness.
Wikipedia. Standard deviation. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Standard_deviation.
Wikipedia. Support (mathematics). Wikipedia. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Support_(mathematics).
Wikipedia. Survival function. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Survival_function#Parametric_survival_functions.
Wikipedia. Symmetric probability distribution. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Symmetric_probability_distribution.
Wikipedia. Variance. Wikimedia Foundation, 2006. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Variance.
Wikipedia. Arcsine distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Arcsine_distribution.
Wikipedia. Beta distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Beta_distribution.
Wikipedia. Cauchy distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Cauchy_distribution.
Wikipedia. Chi-squared distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Chi-squared_distribution.
Wikipedia. Definition of entropy and differential entropy. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Maximum_entropy_probability_distribution#Definition_of_entropy_and_differential_entropy.
Wikipedia. Exponential distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Exponential_distribution.
Wikipedia. F-distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/F-distribution.
Wikipedia. Gamma distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Gamma_distribution.
Wikipedia. Gumbel distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Gumbel_distribution.
Wikipedia. Hazard function and cumulative hazard function. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Likelihood_function.
Wikipedia. Inverse Gaussian distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Inverse_Gaussian_distribution.
Wikipedia. Inverse-gamma distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Inverse-gamma_distribution.
Wikipedia. Laplace distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Laplace_distribution.
Wikipedia. Log-normal distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Log-normal_distribution.
Wikipedia. Logistic distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Logistic_distribution.
Wikipedia. Mixture distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Mixture_distribution.
Wikipedia. Mixture distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Convolution_of_probability_distributions.
Wikipedia. Noncentral F-distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Noncentral_F-distribution.
Wikipedia. Noncentral beta distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Noncentral_beta_distribution.
Wikipedia. Noncentral chi-squared distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Noncentral_chi-squared_distribution.
Wikipedia. Noncentral t-distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Noncentral_t-distribution.
Wikipedia. Normal distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Normal_distribution.
Wikipedia. Pareto distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Pareto_distribution.
Wikipedia. Pearson correlation coefficient. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Pearson_correlation_coefficient#Using_the_exact_distribution.
Wikipedia. Probability mass function. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Probability_mass_function.
Wikipedia. Probability-generating function. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Probability-generating_function.
Wikipedia. Student's t-distribution. Wikimedia Foundation, 2007. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Student%27s_t-distribution.
Wikipedia. Bernoulli distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Bernoulli_distribution.
Wikipedia. Binomial distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Binomial_distribution.
Wikipedia. Birnbaum-Saunders distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Birnbaum-Saunders_distribution.
Wikipedia. Chi distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/chi_distribution.
Wikipedia. Geometric distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Geometric_distribution.
Wikipedia. Half-normal distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Half-normal_distribution.
Wikipedia. Hyperexponential distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Hyperexponential_distribution.
Wikipedia. Hypergeometric distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Hypergeometric_distribution.
Wikipedia. Inverse-chi-squared distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Inverse-chi-squared_distribution.
Wikipedia. Jonckheere's trend test. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Jonckheere%27s_trend_test.
Wikipedia. Kendall rank correlation coefficient. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Kendall_rank_correlation_coefficient#Significance_tests.
Wikipedia. Kumaraswamy distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Kumaraswamy_distribution.
Wikipedia. Lévy distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Lévy_distribution.
Wikipedia. Mann–Whitney U test. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Mann-Whitney_U_test.
Wikipedia. Maxwell distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Maxwell_distribution.
Wikipedia. Nakagami distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Nakagami_distribution.
Wikipedia. Negative binomial distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Negative_binomial_distribution.
Wikipedia. Poisson distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Poisson_distribution.
Wikipedia. Rayleigh distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Rayleigh_distribution.
Wikipedia. Skew normal distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Skew_normal_distribution.
Wikipedia. Triangular distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Triangular_distribution.
Wikipedia. Uniform (continuous) distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Uniform_distribution_(continuous).
Wikipedia. Weibull distribution. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Weibull_distribution.
Wikipedia. Wilcoxon signed-rank test. Wikimedia Foundation, 2008. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Wilcoxon_signed-rank_test.
Wikipedia. Beta prime distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Beta_prime_distribution.
Wikipedia. Burr distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Burr_distribution.
Wikipedia. Dagum distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Dagum_distribution.
Wikipedia. Erlang distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Erlang_distribution.
Wikipedia. Exponential generalized beta distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Generalized_beta_distribution#Exponential_generalized_beta_distribution.
Wikipedia. Exponentially Modified Gaussian distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Exponentially_modified_Gaussian_distribution.
Wikipedia. Feller–Pareto distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Generalized_beta_distribution#Exponential_generalized_beta_distribution.
Wikipedia. Folded normal distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Folded_normal_distribution.
Wikipedia. Fréchet distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Fr%C3%A9chet_distribution.
Wikipedia. GEV distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Generalized_extreme_value_distribution.
Wikipedia. Generalized Pareto distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Generalized_Pareto_distribution.
Wikipedia. Generalized Pareto distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Generalized_Pareto_distribution.
Wikipedia. Generalized beta distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Generalized_beta_distribution.
Wikipedia. Generalized gamma distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Generalized_gamma_distribution.
Wikipedia. Generalized logistic distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Generalized_logistic_distribution.
Wikipedia. Generalized normal distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Generalized_normal_distribution#Symmetric_version.
Wikipedia. Hypoexponential Distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Hypoexponential_distribution.
Wikipedia. Johnson SU and SB distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Johnson%27s_SU-distribution.
Wikipedia. Log-logistic (Fisk) distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Log-logistic_distribution.
Wikipedia. Lomax distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Lomax_distribution.
Wikipedia. Noncentral chi distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Noncentral_chi_distribution.
Wikipedia. Shifted Gompertz distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Shifted_Gompertz_distribution.
Wikipedia. Studentized range distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Studentized_range_distribution.
Wikipedia. Truncated normal distribution. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Truncated_normal_distribution.
Wikipedia. Voigt profile. Wikimedia Foundation, 2009. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Voigt_profile.
Wikipedia. Beta negative binomial distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Beta_negative_binomial_distribution.
Wikipedia. Beta-binomial distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Beta-binomial_distribution.
Wikipedia. Delaporte distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Delaporte_distribution.
Wikipedia. Fisher's noncentral hypergeometric distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Fisher%27s_noncentral_hypergeometric_distribution.
Wikipedia. Generalized hyperbolic distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Generalised_hyperbolic_distribution.
Wikipedia. Generalized inverse Gaussian distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Generalized_inverse_Gaussian_distribution.
Wikipedia. Harmonic distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Harmonic_distribution.
Wikipedia. Hyperbolic distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Hyperbolic_distribution.
Wikipedia. Incomplete beta function. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Beta_function#Incomplete_beta_function.
Wikipedia. Incomplete gamma function. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Incomplete_gamma_function.
Wikipedia. Landau distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Landau_distribution.
Wikipedia. Logarithmic distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Logarithmic_distribution.
Wikipedia. Negative hypergeometric distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Negative_hypergeometric_distribution.
Wikipedia. Pearson correlation coefficient, exact distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Pearson_correlation_coefficient#Using_the_exact_distribution.
Wikipedia. Pearson type IV distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Pearson_distribution#Case_1,_negative_discriminant:_The_Pearson_type_IV_distribution.
Wikipedia. Rice distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Rice_distribution.
Wikipedia. Skellam distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Skellam_distribution.
Wikipedia. Stable distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Stable_distribution.
Wikipedia. Variance-gamma distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Variance-gamma_distribution.
Wikipedia. Wrapped Cauchy distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Wrapped_Cauchy_distribution.
Wikipedia. Wrapped normal distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Wrapped_normal_distribution.
Wikipedia. Zeta distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://mathworld.wolfram.com/ZipfDistribution.html.
Wikipedia. von Mises distribution. Wikimedia Foundation, 2010. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Von_Mises_distribution.
Wikipedia. Common logarithm. Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Common_logarithm.
Wikipedia. Complementary error function. Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Error_function#Complementary_error_function.
Wikipedia. Complex logarithm. Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Complex_logarithm.
Wikipedia. Cube root. Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Cube_root.
Wikipedia. Error function. Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Error_function.
Wikipedia. Exponential function (expm1). Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Exponential_function#expm1.
Wikipedia. Exponential function. Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Exponential_function.
Wikipedia. Exponentiation. Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Exponentiation.
Wikipedia. Hyperbolic functions. Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Hyperbolic_function.
Wikipedia. Imaginary error function. Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Error_function#Imaginary_error_function.
Wikipedia. Natural logarithm (log1p). Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Natural_logarithm#High_precision.
Wikipedia. Natural logarithm. Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Natural_logarithm.
Wikipedia. Power of 10. Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Power_of_10.
Wikipedia. Power of two. Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Power_of_two.
Wikipedia. Sine. Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Sine.
Wikipedia. Square (algebra). Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Square_(algebra).
Wikipedia. Square root. Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Square_root.
Wikipedia. Trigonometric functions. Wikimedia Foundation, 2011. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Trigonometric_functions.
Wikipedia. Bernoulli number. Wikimedia Foundation, 2012. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Bernoulli_number.
Wikipedia. Bernoulli polynomials. Wikimedia Foundation, 2012. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Bernoulli_polynomials.
Wikipedia. Bessel functions of the first kind. Wikimedia Foundation, 2012. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Bessel_function#Bessel_functions_of_the_first_kind.
Wikipedia. Bessel functions of the second kind. Wikimedia Foundation, 2012. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Bessel_function#Bessel_functions_of_the_second_kind.
Wikipedia. Beta function. Wikimedia Foundation, 2012. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Beta_function.
Wikipedia. Binomial coefficient. Wikimedia Foundation, 2012. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Binomial_coefficient.
Wikipedia. Confluent Hypergeometric Limit Function. Wikimedia Foundation, 2012. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Generalized_hypergeometric_function#The_series_0F1.
Wikipedia. Confluent hypergeometric function. Wikimedia Foundation, 2012. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Confluent_hypergeometric_function.
Wikipedia. Factorial. Wikimedia Foundation, 2012. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Factorial.
Wikipedia. Falling and rising factorials. Wikimedia Foundation, 2012. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Falling_and_rising_factorials.
Wikipedia. Gamma function. Wikimedia Foundation, 2012. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Gamma_function.
Wikipedia. Hypergeometric (Gauss) function. Wikimedia Foundation, 2012. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Hypergeometric_function.
Wikipedia. Inverse Trigonometric functions. Wikimedia Foundation, 2012. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Inverse_trigonometric_functions.
Wikipedia. Inverse hyperbolic functions. Wikimedia Foundation, 2012. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Inverse_hyperbolic_functions.
Wikipedia. Lambert W function. Wikimedia Foundation, 2012. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Lambert_W_function.
Wikipedia. Machine epsilon. Wikimedia Foundation, 2012. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Machine_epsilon.
Wikipedia. Modified Bessel functions. Wikimedia Foundation, 2012. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Bessel_function#Modified_Bessel_functions.
Wikipedia. Natural logarithm of 2. Wikimedia Foundation, 2012. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Natural_logarithm_of_2.
Wikipedia. Pi. Wikimedia Foundation, 2012. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Pi.
Wikipedia. Polygamma function. Wikimedia Foundation, 2012. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Polygamma_function.
Wikipedia. Reciprocal gamma function. Wikimedia Foundation, 2012. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Reciprocal_gamma_function.
Wikipedia. The log-gamma function. Wikimedia Foundation, 2012. [Online; accessed 22-July-2024]. URL: https://en.wikipedia.org/wiki/Gamma_function#The_log-gamma_function.
Wikipedia. e (mathematical constant). Wikimedia Foundation, 2012. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/E_(mathematical_constant).
Wikipedia. Apéry's constant. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Apéry%27s_constant.
Wikipedia. Arithmetic-geometric mean. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Arithmetic-geometric_mean.
Wikipedia. Atan2. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Atan2.
Wikipedia. Conversion between radians and degrees. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Radian#Conversion_between_radians_and_degrees.
Wikipedia. Digamma function. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Digamma_function.
Wikipedia. Double factorial. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Double_factorial.
Wikipedia. Euler number. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Euler_numbers.
Wikipedia. Euler polynomials; in: Bernoulli polynomials. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Bernoulli_polynomials.
Wikipedia. Euler-Mascheroni constant. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Euler-Mascheroni_constant.
Wikipedia. Glaisher-Kinkelin constant. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Glaisher-Kinkelin_constant.
Wikipedia. Golden ratio. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Golden_ratio.
Wikipedia. Golden ratio. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Golden_ratio.
Wikipedia. Group of nth roots of unity. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Root_of_unity#Group_of_nth_roots_of_unity.
Wikipedia. Harmonic number. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Harmonic_number.
Wikipedia. Hyperfactorial. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Factorial#Hyperfactorial.
Wikipedia. Hypotenuse. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Hypotenuse.
Wikipedia. Khinchin's constant. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Khinchin%27s_constant.
Wikipedia. Prime number theorem. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Prime_number_theorem.
Wikipedia. Prime-counting function. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Bernoulli_polynomials.
Wikipedia. Root of unity. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Root_of_unity#Group_of_nth_roots_of_unity.
Wikipedia. Sinc function. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Sinc_function.
Wikipedia. Superfactorial. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Factorial#Superfactorial.
Wikipedia. Trigamma function. Wikimedia Foundation, 2013. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Trigamma_function.
Wikipedia. Airy function. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Airy_function.
Wikipedia. Associated Legendre polynomials. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Associated_Legendre_polynomials.
Wikipedia. Barnes G-function. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Barnes_G-function.
Wikipedia. Bulirsch-Integrale. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://de.wikipedia.org/wiki/Elliptisches_Integral#Bulirsch-Integrale.
Wikipedia. Carlson symmetric form. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Carlson_symmetric_form.
Wikipedia. Chebyshev polynomials. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Chebyshev_polynomials.
Wikipedia. Complete elliptic integral of the first kind. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Elliptic_integral#Complete_elliptic_integral_of_the_first_kind.
Wikipedia. Complete elliptic integral of the second kind. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Elliptic_integral#Complete_elliptic_integral_of_the_second_kind.
Wikipedia. Complete elliptic integral of the third kind. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Elliptic_integral#Complete_elliptic_integral_of_the_third_kind.
Wikipedia. Elliptic function. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Elliptic_function.
Wikipedia. Gegenbauer polynomials. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Gegenbauer_polynomials.
Wikipedia. Generalized hypergeometric function. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Generalized_hypergeometric_function.
Wikipedia. Hankel functions. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Bessel_function#Hankel_functions.
Wikipedia. Hermite polynomials. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Hermite_polynomials.
Wikipedia. Incomplete elliptic integral of the first kind. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Elliptic_integral#Incomplete_elliptic_integral_of_the_first_kind.
Wikipedia. Incomplete elliptic integral of the second kind. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Elliptic_integral#Incomplete_elliptic_integral_of_the_second_kind.
Wikipedia. Incomplete elliptic integral of the third kind. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Elliptic_integral#Incomplete_elliptic_integral_of_the_third_kind.
Wikipedia. Jacobi elliptic functions. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Jacobi_elliptic_functions.
Wikipedia. Jacobi polynomials. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Jacobi_polynomials.
Wikipedia. Laguerre polynomials. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Laguerre_polynomials.
Wikipedia. Legendre polynomials. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Legendre_polynomials.
Wikipedia. Spherical Bessel functions. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Bessel_function#Spherical_Bessel_functions:_jn,_yn.
Wikipedia. Spherical Hankel functions. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Bessel_function#Spherical_Hankel_functions:_h(1)n,_h(2)n.
Wikipedia. Spherical harmonics. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Spherical_harmonics.
Wikipedia. Theta function. Wikimedia Foundation, 2014. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Theta_function.
Wikipedia. Complete Fermi-Dirac integral. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Complete_Fermi%E2%80%93Dirac_integral.
Wikipedia. Cosine integral. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Trigonometric_integral#Cosine_integral.
Wikipedia. Exponential integral. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Exponential_integral.
Wikipedia. Faddeeva function. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Faddeeva_function.
Wikipedia. Fresnel integral. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Fresnel_integral.
Wikipedia. Goodwin-Staton integral. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Goodwin-Staton_integral.
Wikipedia. Hurwitz zeta function. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Hurwitz_zeta_function.
Wikipedia. Hyperbolic cosine integral. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Trigonometric_integral#Hyperbolic_cosine_integral.
Wikipedia. Hyperbolic sine integral. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Trigonometric_integral#Hyperbolic_sine_integral.
Wikipedia. Legendre chi function. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Legendre_chi_function.
Wikipedia. Lemniscate elliptic functions. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Lemniscate_elliptic_functions.
Wikipedia. Logarithmic integral function. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Logarithmic_integral_function.
Wikipedia. Neville theta functions. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Neville_theta_functions.
Wikipedia. Polylogarithm. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Polylogarithm.
Wikipedia. Polylogarithm, inverse tangent integral. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Polylogarithm#Relationship_to_other_functions.
Wikipedia. Riemann zeta function. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Riemann_zeta_function.
Wikipedia. Sine integral. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Trigonometric_integral#Sine_integral.
Wikipedia. Spence's function. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Spence%27s_function.
Wikipedia. Voigt profile. Wikimedia Foundation, 2015. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Voigt_profile.
Wikipedia. Bubble chart. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Bubble_chart.
Wikipedia. Catalan number. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Catalan_number.
Wikipedia. Dawson function. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Dawson_function.
Wikipedia. Debye functions and polylogarithms. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Debye_function and https://en.wikipedia.org/wiki/Polylogarithm.
Wikipedia. Dirichlet beta function. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: http://en.wikipedia.org/wiki/Dirichlet_beta_function.
Wikipedia. Fibonacci Number. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: http://mathworld.wolfram.com/FibonacciNumber.html.
Wikipedia. Fibonacci Polynomials. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Fibonacci_polynomials.
Wikipedia. Gudermannian function. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Gudermannian_function.
Wikipedia. Haversine. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Versine#Haversine and https://en.wikipedia.org/wiki/Haversine_formula.
Wikipedia. Inverse Gudermannian function. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Gudermannian_function#Inverse.
Wikipedia. Inverse Haversine. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Versine#Inverse_functions.
Wikipedia. Logistic function. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Logistic_function.
Wikipedia. Logit function. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Logit.
Wikipedia. Lucas Number. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Lucas_number.
Wikipedia. Lucas Polynomials. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Lucas_sequence and https://en.wikipedia.org/wiki/Fibonacci_polynomials.
Wikipedia. Marcum Q-function. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Owen%27s_T_function.
Wikipedia. Owen's T function. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Owen%27s_T_function.
Wikipedia. Riemann Xi. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Riemann_Xi_function.
Wikipedia. Scatter plot. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Scatter_plot.
Wikipedia. Weierstrass elliptic function: Modular discriminant. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Weierstrass_elliptic_function#Modular_discriminant.
Wikipedia. Weierstrass elliptic function: The constants e1, e2 and e3. Wikimedia Foundation, 2016. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Weierstrass_elliptic_function#The_constants_e1,_e2_and_e3.
Wikipedia. Clausen function. Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Clausen_function.
Wikipedia. Cyclotomic polynomial. Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Cyclotomic_polynomial.
Wikipedia. Dirichlet L-function. Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Dirichlet_L-function.
Wikipedia. Half-period ratio. Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Half-period_ratio.
Wikipedia. Lerch's transcendent (Lerch zeta function). Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Lerch_zeta_function.
Wikipedia. Meissel–Mertens constant. Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Meissel-Mertens_constant.
Wikipedia. Nome (mathematics). Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Nome_(mathematics).
Wikipedia. Prime zeta function. Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Prime_zeta_function.
Wikipedia. Riemann hypothesis. Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Riemann_hypothesis.
Wikipedia. Riemann-Siegel Z function. Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Z_function.
Wikipedia. Riemann-Siegel theta function. Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Riemann-Siegel_theta_function.
Wikipedia. Stirling numbers of the first kind. Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Stirling_numbers_of_the_first_kind.
Wikipedia. Stirling numbers of the second kind. Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Stirling_numbers_of_the_second_kind.
Wikipedia. Twin prime. Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Twin_prime.
Wikipedia. Von Mangoldt function. Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Von_Mangoldt_function.
Wikipedia. j-invariant. Wikimedia Foundation, 2017. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/J-invariant.
Wikipedia. Anger function. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Anger_function.
Wikipedia. Appell series. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: http://en.wikipedia.org/wiki/Appell_series.
Wikipedia. Bilateral hypergeometric series. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: http://en.wikipedia.org/wiki/Bilateral_hypergeometric_series.
Wikipedia. Circle. Wikimedia Foundation, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Circle.
Wikipedia. Correlation matrix. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Covariance_matrix#Correlation_matrix.
Wikipedia. Coulomb wave function. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Coulomb_wave_function.
Wikipedia. Covariance matrix. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Covariance_matrix.
Wikipedia. Cycloid. Wikimedia Foundation, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Cycloid.
Wikipedia. Ellipse. Wikimedia Foundation, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Ellipse.
Wikipedia. Epicycloid. Wikimedia Foundation, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Epicycloid.
Wikipedia. Epitrochoid. Wikimedia Foundation, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Epitrochoid.
Wikipedia. Euler's formula. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Euler%27s_formula.
Wikipedia. Fish curve. Wikimedia Foundation, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Fish_curve.
Wikipedia. Generalized hypergeometric function. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Generalized_hypergeometric_function.
Wikipedia. Heart curve. Wikimedia Foundation, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Heart_symbol#Parametrisation.
Wikipedia. Hypocycloid. Wikimedia Foundation, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Hypocycloid.
Wikipedia. Hypotrochoid. Wikimedia Foundation, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Hypotrochoid.
Wikipedia. Kelvin function bei. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Kelvin_functions#bei(x).
Wikipedia. Kelvin function ber. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Kelvin_functions#ber(x).
Wikipedia. Kelvin function kei. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Kelvin_functions#kei(x).
Wikipedia. Kelvin function ker. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Kelvin_functions#ker(x).
Wikipedia. Lemniscate of Bernoulli. Wikimedia Foundation, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Lemniscate_of_Bernoulli.
Wikipedia. Lemniscate of Gerono. Wikimedia Foundation, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Lemniscate_of_Gerono.
Wikipedia. Lissajous curve. Wikimedia Foundation, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Lissajous_curve.
Wikipedia. Lommel function. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Lommel_function.
Wikipedia. Meijer G-function. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: http://en.wikipedia.org/wiki/Meijer_G-function.
Wikipedia. Parabolic cylinder function. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Parabolic_cylinder_function.
Wikipedia. Relationship to other q-functions. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Q-Pochhammer_symbol#Relationship_to_other_q-functions.
Wikipedia. Sample mean and covariance. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Sample_mean_and_covariance#Sample_covariance.
Wikipedia. Scorer's function. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Scorer%27s_function.
Wikipedia. Struve function. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Struve_function.
Wikipedia. Superellipse (Lamé curve). Wikimedia Foundation, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Superellipse.
Wikipedia. Trace (linear algebra). Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Determinant.
Wikipedia. Trochoid. Wikimedia Foundation, 2018. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Trochoid.
Wikipedia. Whittaker function. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Whittaker_function.
Wikipedia. q-Pochhammer symbol. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Q-Pochhammer_symbol.
Wikipedia. q-gamma function. Wikimedia Foundation, 2018. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Q-gamma_function.
Wikipedia. Archimedes Spiral. Wikimedia Foundation, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Archimedean_spiral.
Wikipedia. Butterfly curve. Wikimedia Foundation, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Butterfly_curve_(transcendental).
Wikipedia. Cardioid. Wikimedia Foundation, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Cardioid.
Wikipedia. Cholesky decomposition. Wikimedia Foundation, 2019. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Cholesky_decomposition.
Wikipedia. Conchoid of de Sluze. Wikimedia Foundation, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Conchoid_of_de_Sluze.
Wikipedia. Cycloid of Ceva. Wikimedia Foundation, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://de.wikipedia.org/wiki/Zykloide_von_Ceva.
Wikipedia. Determinant. Wikimedia Foundation, 2019. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Determinant.
Wikipedia. Eigendecomposition of a matrix. Wikimedia Foundation, 2019. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Eigendecomposition_of_a_matrix#Eigendecomposition_of_a_matrix.
Wikipedia. Eigendecomposition of a matrix: Generalized_eigenvalue_problem. Wikimedia Foundation, 2019. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Eigendecomposition_of_a_matrix#Generalized_eigenvalue_problem.
Wikipedia. Eigendecomposition of a matrix: Useful facts. Wikimedia Foundation, 2019. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Eigendecomposition_of_a_matrix#Useful_facts.
Wikipedia. Epispiral. Wikimedia Foundation, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Epispiral.
Wikipedia. Fermat's Spiral. Wikimedia Foundation, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Fermat%27s_spiral.
Wikipedia. Freeth's Nephroid. Wikimedia Foundation, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Nephroid.
Wikipedia. Hessenberg matrix. Wikimedia Foundation, 2019. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Hessenberg_matrix.
Wikipedia. Householder transformation: Tridiagonalization. Wikimedia Foundation, 2019. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Householder_transformation#Tridiagonalization.
Wikipedia. Hyperbolic Spiral. Wikimedia Foundation, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Hyperbolic_spiral.
Wikipedia. Invertible matrix. Wikimedia Foundation, 2019. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Invertible_matrix.
Wikipedia. LU factorization with partial pivoting. Wikimedia Foundation, 2019. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/LU_decomposition#LU_factorization_with_partial_pivoting.
Wikipedia. Limaçon curve. Wikimedia Foundation, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Lima%C3%A7on.
Wikipedia. Lituus. Wikimedia Foundation, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Lituus_(mathematics).
Wikipedia. Logarithmic Spiral. Wikimedia Foundation, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://mathworld.wolfram.com/LogarithmicSpiral.html.
Wikipedia. Moore-Penrose inverse. Wikimedia Foundation, 2019. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Moore%E2%80%93Penrose_inverse.
Wikipedia. Quadratic form (statistics). Wikimedia Foundation, 2019. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Quadratic_form_(statistics).
Wikipedia. Rose curve. Wikimedia Foundation, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Maurer_rose.
Wikipedia. Singular value decomposition. Wikimedia Foundation, 2019. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Singular_value_decomposition.
Wikipedia. Strophoid. Wikimedia Foundation, 2019. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Strophoid.
Wikipedia. System of linear equations. Wikimedia Foundation, 2019. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/System_of_linear_equations.
Wikipedia. Tridiagonal matrix. Wikimedia Foundation, 2019. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Tridiagonal_matrix.
Wikipedia. Analytic function of a matrix. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Analytic_function_of_a_matrix.
Wikipedia. Broyden-Fletcher-Goldfarb-Shanno algorithm. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Broyden%E2%80%93Fletcher%E2%80%93Goldfarb%E2%80%93Shanno_algorithm.
Wikipedia. CMA-ES. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/CMA-ES.
Wikipedia. Generalized Schur decomposition. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Schur_decomposition#Generalized_Schur_decomposition.
Wikipedia. LDL decomposition. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Cholesky_decomposition#LDL_decomposition_2.
Wikipedia. LU factorization with full pivoting. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/LU_decomposition#LU_factorization_with_full_pivoting.
Wikipedia. Levenberg-Marquardt algorithm. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Levenberg%E2%80%93Marquardt_algorithm.
Wikipedia. Limited-memory BFGS. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Limited-memory_BFGS.
Wikipedia. Logarithm of a matrix. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Logarithm_of_a_matrix.
Wikipedia. Matrix decomposition. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Matrix_decomposition.
Wikipedia. Matrix exponential. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Matrix_exponential.
Wikipedia. Nelder-Mead method. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Nelder-Mead_method.
Wikipedia. Powell's dog leg method. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Powell%27s_dog_leg_method.
Wikipedia. QR decomposition. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/QR_decomposition.
Wikipedia. QR decomposition. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Eigendecomposition_of_a_matrix#Generalized_eigenvalue_problem.
Wikipedia. QR decomposition: Column pivoting. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/QR_decomposition#Column_pivoting.
Wikipedia. Schur decomposition. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Schur_decomposition.
Wikipedia. Square root of a matrix. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Square_root_of_a_matrix.
Wikipedia. Trigonometric functions of matrices. Wikimedia Foundation, 2020. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Trigonometric_functions_of_matrices.
Wikipedia. Analysis of variance. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Analysis_of_variance.
Wikipedia. Binomial proportion confidence interval. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Binomial_proportion_confidence_interval.
Wikipedia. Canonical correlation. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Canonical_correlation.
Wikipedia. Design matrix. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Design_matrix.
Wikipedia. Friedman test. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Page%27s_trend_test.
Wikipedia. Jonckheere's trend test. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Jonckheere%27s_trend_test.
Wikipedia. Kendall rank correlation coefficient. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Kendall_rank_correlation_coefficient#Significance_tests.
Wikipedia. Kruskal–Wallis one-way analysis of variance. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Kruskal-Wallis_one-way_analysis_of_variance.
Wikipedia. Linear discriminant analysis. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Linear_discriminant_analysis.
Wikipedia. Linear regression. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Linear_regression.
Wikipedia. Mann–Whitney U test. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Mann-Whitney_U_test.
Wikipedia. Median test. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Median_test.
Wikipedia. One-sample t-test. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Student%27s_t-test#One-sample_t-test.
Wikipedia. One-way analysis of variance. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/One-way_analysis_of_variance.
Wikipedia. Page's trend test. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Page%27s_trend_test.
Wikipedia. Principal component analysis. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Principal_component_analysis.
Wikipedia. Regression analysis. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Regression_analysis.
Wikipedia. Siegel–Tukey test. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Siegel%E2%80%93Tukey_test.
Wikipedia. Sign test. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Sign_test.
Wikipedia. Spearman's rank correlation coefficient. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Spearman%27s_rank_correlation_coefficient.
Wikipedia. Wilcoxon signed-rank test. Wikimedia Foundation, 2021. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Wilcoxon_signed-rank_test.
Wikipedia. Acnode. Wikimedia Foundation, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Acnode.
Wikipedia. Analysis of covariance. Wikimedia Foundation, 2022. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Analysis_of_covariance.
Wikipedia. Cissoid. Wikimedia Foundation, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Cissoid.
Wikipedia. Correlation. Wikimedia Foundation, 2022. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Correlation_and_dependence.
Wikipedia. Cotes's spiral. Wikimedia Foundation, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Cotes%27s_spiral.
Wikipedia. Crunode. Wikimedia Foundation, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Crunode.
Wikipedia. Cusp (singularity). Wikimedia Foundation, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Cusp_(singularity).
Wikipedia. Euler spiral. Wikimedia Foundation, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Fresnel_integral#Euler_spiral.
Wikipedia. Feature scaling: Standardization. Wikimedia Foundation, 2022. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Feature_scaling#Standardization.
Wikipedia. General linear model. Wikimedia Foundation, 2022. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Analysis_of_covariance.
Wikipedia. Multivariate analysis of covariance. Wikimedia Foundation, 2022. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Multivariate_analysis_of_covariance.
Wikipedia. Multivariate analysis of variance. Wikimedia Foundation, 2022. [Online; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Multivariate_analysis_of_variance.
Wikipedia. Nielsen's_spiral. Wikimedia Foundation, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Trigonometric_integral#Nielsen's_spiral.
Wikipedia. Poinsot's spirals. Wikimedia Foundation, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Poinsot%27s_spirals.
Wikipedia. Singular point of a curve. Wikimedia Foundation, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Singular_point_of_a_curve.
Wikipedia. Trisectrix of Maclaurin. Wikimedia Foundation, 2022. [Online; last edited on 5 December 2022; accessed 22-Dec-2024]. URL: https://en.wikipedia.org/wiki/Trisectrix_of_Maclaurin.
S. S. Wilks. Certain generalizations in the analysis of variance. Biometrika, 24:471–494, 1932.
S. S. Wilks. On the independence of k sets of normally distributed statistical variables. Econometrica, 3:309–326, 1935.
S. S. Wilks. Sample criteria for testing equality ofmeans, equality of variances, and equality of covariances in a normal multivariate distribution. Annals of Mathematical Statistics, 17:257–281, 1946.
A. Winterbottom. Cornish-fisher expansions for confidence limits. Communications in Statistics, Part B – Simulation and Computation, 41:69–79, 1979.
A. Winterbottom. Estimation for the bivariate normal correlation coefficient using asymptotic expansions. Communications in Statistics, Part B – Simulation and Computation [Split from: @J(CommStat)], 9:599–609, 1980.
C. S. Withers and S. Nadarajah. Charlier and edgeworth expansions for distributions and densities in terms of bell polynomials. Probability and Mathematical Statistics, 29:271, 2009.
C. S. Withers and S. Nadarajah. Edgeworth–cornish–fisher–hill–davis expansions for normal and non-normal limits via bell polynomials. Stochastics: An International Journal of Probability and Stochastic Processes, 87:794–805, 2015.
V. Witkovsky. The characteristic functions toolbox. In The 10th International Conference of the ERCIM Workgroup on Computational and Methodological Statistics (CMStatistics 2017). University of London, UK, 2017. Available from witkovsky/CharFunTool.
V. Witkovský. Computing the distribution of a linear combination of inverted gamma variables. Kybernetika, 37(1):79–90, 2001.
V. Witkovský. On the exact computation of the density and of the quantiles of linear combinations of t and f random variables. Journal of Statistical Planning and Inference, 94:1–13, 2001.
V. Witkovský. A note on Computing Extreme Tail Probabilities of the Noncentral T Distribution with Large Noncentrality Parameter. ArXiv e-prints, 2013.
V. Witkovský. Arcsine Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Beta Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Chi-Squared Dsitribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Exponential Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. F-Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Gamma Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Gumbel Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Inverse Gamma Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Inverse Gaussian Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Laplace Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Log Normal Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Noncentral Beta Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Noncentral Chi-Squared Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Noncentral F-Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Pareto Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Rayleigh Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Rectangular (Uniform) Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Student's t-Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Triangular Distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Weibull distribution. CharFunTool: The characteristic functions toolbox, 2017. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Binomial distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Canonical Correlation: Noncentral Wilks' Lambda Distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Chi Distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Delaporte Distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Geometric distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Half-normal distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: https://https://github.com/witkovsky/CharFunTool/blob/master/CF_Repository/cf_HalfNormal.m.
V. Witkovský. Maxwell Distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Nakagami Distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Negative Binomial distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Noncentral Wilks' Lambda Distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Noncentral chi distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Poisson distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Rice distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. SkewNormal Distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Stable Distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Test for Equality of Means. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. Wilks' Lambda Distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: witkovsky/CharFunTool.
V. Witkovský. von Mises distribution. CharFunTool: The characteristic functions toolbox, 2018. [Online; accessed 22-July-2024]. URL: https://https://github.com/witkovsky/CharFunTool/blob/master/CF_Repository/cf_vonMises.m.
N. Yamanaka, T. Okayama, S. Oishi, and T. Ogita. A fast verified automatic integration algorithm using double exponential formula. Kybernetika, 1(1):119–132, 2010.
Y. Yin. Multiple Hypothesis Testing and Multiple Outlier Identification Methods. Thesis. University of Saskatchewan, 2010. Available as https://harvest.usask.ca/server/api/core/bitstreams/30ee94cc-80ae-4939-8362-53b746a319a7/content.
Y. Yu. The shape of noncentral chi-square density. 2011. Available as https://arxiv.org/pdf/1106.5241.
H. Zakerzadeh and A. Dolati. Generalized lindley distribution. Journal of Mathematical Extension, 3(2):13–25, 2009.
Z. Zhang. An improvement to the brent's method. IJEA, 2:2–26, 2011. Available at: https://www.cscjournals.org/manuscript/Journals/IJEA/Volume2/Issue1/IJEA-7.pdf.
H. Zimmermann. Exact calculation of permutational distributions for two dependent samples. Biometrical Journal, 27:349–352, 1985.
H. Zimmermann. Exact calculation of permutational distributions for two independent samples. Biometrical Journal, 27:431–434, 1985.
Kaveh R. Ghazi and Vincent Lefèvre and Philippe Théveny and Paul Zimmermann. Why and how to use arbitrary precision. Computing in Science and Engineering, 12(3):62–65, 2010. Preprint available at http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.212.6321&rep=rep1&type=pdf.
W. Hofschuster and W. Krämer. C-xsc 2.0: a c++ library for extended scientific computing. In R. Alt, A. Frommer, R.B. Kearfott, and W. Luther, editors, Numerical Software with Result Verification, Lecture notes in Computer Science, pages 15–35. Springer-Verlag, Heidelberg, 2004.