Addditional special functions (complex arguments, double precision)

• Conversions of parameters of Weierstrass \(\wp\)
  • Elliptic lattice roots \(e_1, e_2, e_3\) from elliptic lattice invariants \(g_2, g_3\)
    • ctxflint.elliptic_roots_from_g2g3()
  • Elliptic half periods \(\omega_1, \omega_2\) from elliptic lattice invariants \(g_2, g_3\)
    • ctxflint.elliptic_halfperiods_from_g2g3()
  • Elliptic half-period \(\omega_1\) and elliptic period ratio \(\tau\) from elliptic lattice invariants \(g_2\) and \(g_3\)
    • ctxflint.OmegaAndTau()
• Weierstrass elliptic functions, in terms of (real) lattice invariants \(g_2, g_3\)
  • Weierstrass function \(\wp_g(z, g_2, g_3)\) (also DAMath)
    • ctxflint.weierstrass_p_g()
  • Weierstrass function, first derivative: \(\wp_g'(z, g_2, g_3)\)
    • ctxflint.weierstrass_p_prime_()
  • Inverse Weierstrass function \(\wp_g^{-1}(z, g_2, g_3)\)
    • ctxflint.weierstrass_p_invG()
  • Weierstrass Zeta function \(\zeta_g(z, g_2, g_3)\)
    • ctxflint.weierstrass_zeta_g()
  • Weierstrass Sigma function \(\sigma_g(z, g_2, g_3\))
    • ctxflint.weierstrass_sigma_g()
• Weierstrass elliptic functions, in terms of (real) lattice roots \(e_1, e_2\)
  • Weierstrass function \(\wp_e(x,e_1,e_2)\) (also DAMath)
    • math53.weierstrass_p_e()
  • Weierstrass function \(\wp'_e(x,e_1,e_2)\) (also DAMath)
    • math53.weierstrass_pprime_e()
  • Inverse Weierstrass function \(\wp^{-1}_e(y,e_1,e_2)\) (also DAMath)
    • math53.weierstrass_p_inv_e()
  • Weierstrass Zeta function \(\zeta_e(z, e_1, e_2)\)
    • ctxflint.weierstrass_zeta_e()
  • Weierstrass Sigma function \(\sigma_e(z, e_1, e_2)\)
    • ctxflint.weierstrass_sigma_e()
• Weierstrass elliptic functions, in terms of lattice half-periods \(\omega_1\) and \(\omega_2\)
  • Weierstrass function \(\wp_{\omega}(z| \omega_1, \omega_2)\)
    • ctxflint.weierstrass_o()
  • Weierstrass function, first derivative: \(\wp_{\omega}'(z| \omega_1, \omega_2)\)
    • ctxflint.weierstrass_p_prime_o()
  • Inverse Weierstrass function \(\wp_{\omega}^{-1}(z| \omega_1, \omega_2)\)
    • ctxflint.weierstrass_p_inv_o()
  • Weierstrass Zeta function \(\zeta_{\omega}(z, \omega_1, \omega_2)\)
    • ctxflint.weierstrass_zeta_o()
  • Weierstrass Sigma function \(\sigma_{\omega}(z| \omega_1, \omega_2)\)
    • ctxflint.weierstrass_sigma_o()