Hypergeometric pFq, and related functions

Struve function \(\mathbf{H}_0(x)\)

math53.struve_h0(x)

Returns the Struve function \(H_0(x)\)

See also: Ehrhardt [309] (3.1.9.1), Mpmath [763].

An example in Python

>>> from xlcalcnet import xreal
>>> xreal.StruveH0(0.5)
xreal('5.2359877559829887307E-1')
>>> xreal.StruveH0('0.51')
xreal('5.3518479027559984754E-1')

An example in Visual Basic

>>> from xlcalcnet import Gpr
>>> Gpr.StruveH0(0.5)
Gpr('5.2359877559829887307E-1')
>>> Gpr.StruveH0('0.51')
Gpr('5.3518479027559984754E-1')

Struve function \(\mathbf{H}_1(x)\)

math53.struve_h1(x)

Returns the Struve function \(H_1(x)\)

See also: Ehrhardt [309] (3.1.9.2), Mpmath [763].

An example in Python

>>> from xlcalcnet import xreal
>>> xreal.StruveH1(0.5)
xreal('5.2359877559829887307E-1')
>>> xreal.StruveH1('0.51')
xreal('5.3518479027559984754E-1')

An example in Visual Basic

>>> from xlcalcnet import Gpr
>>> Gpr.StruveH1(0.5)
Gpr('5.2359877559829887307E-1')
>>> Gpr.StruveH1('0.51')
Gpr('5.3518479027559984754E-1')

Struve function \(\mathbf{L}_0(x)\)

math53.struve_l0(x)

Returns the Struve function \(L_0(x)\)

See also: Ehrhardt [309] (3.1.9.5).

An example in Python

>>> from xlcalcnet import xreal
>>> xreal.StruveL0(0.5)
xreal('5.2359877559829887307E-1')
>>> xreal.StruveL0('0.51')
xreal('5.3518479027559984754E-1')

An example in Visual Basic

>>> from xlcalcnet import Gpr
>>> Gpr.StruveL0(0.5)
Gpr('5.2359877559829887307E-1')
>>> Gpr.StruveL0('0.51')
Gpr('5.3518479027559984754E-1')

Struve function \(\mathbf{L}_1(x)\)

math53.struve_l1(x)

Returns the Struve function \(\mathbf{L}_1(x)\)

See also: Ehrhardt [309] (3.1.9.6).

An example in Python

>>> from xlcalcnet import xreal
>>> xreal.StruveL1(0.5)
xreal('5.2359877559829887307E-1')
>>> xreal.StruveL1('0.51')
xreal('5.3518479027559984754E-1')

An example in Visual Basic

>>> from xlcalcnet import Gpr
>>> Gpr.StruveL1(0.5)
Gpr('5.2359877559829887307E-1')
>>> Gpr.StruveL1('0.51')
Gpr('5.3518479027559984754E-1')