SpecialFuncs Namespace

Special math functions

Introduces several special functions:

Airy, Bessel functions,
Elliptic integrals,
Jacoby elliptic functions,
Associated Legendre polynomials.

Name	Description
Functions	The following table lists functions in this documentation.

Functions

	Name	Description
	Airy	Airy function of the first kind (Complex argument).
	Airy	Airy function of the first kind or it's derivative (Complex argument, allows derivative or scale.
	Airy	This is function SpecialFuncs.Airy.
	Airy	This is function SpecialFuncs.Airy.
	Airy	Airy function of the first kind (Real argument).
	Airy	Airy function or it's derivative of the first kind (Real argument, allows derivative and scale).
	Airy	This is function SpecialFuncs.Airy.
	Airy	This is function SpecialFuncs.Airy.
	Besh	Modified Bessel function of the third kind - Hankel function H(Z) (Complex argument).
	Besh	Hankel function H(z) of the first or second kind (Complex argument, first or second kind, can be scaled.
	Besh	Modified Bessel function of the third kind - Hankel function H(Z) (Real argument).
	Besh	Hankel function H(z) of the first or second kind (Real argument, first or second kind, can be scaled.
	Besh	This is function SpecialFuncs.Besh.
	Besh	This is function SpecialFuncs.Besh.
	Besh	This is function SpecialFuncs.Besh.
	Besh	This is function SpecialFuncs.Besh.
	Besi	Modified Bessel function of the first kind In(Z) (complex argument).
	Besi	Modified Bessel function of the first kind In(Z) (Complex argument, can be scaled).
	Besi	Modified Bessel function of the first kind In(A) (real argument).
	Besi	Modified Bessel function of the first kind In(A) (Real argument, can be scaled).
	Besi	This is function SpecialFuncs.Besi.
	Besi	This is function SpecialFuncs.Besi.
	Besi	This is function SpecialFuncs.Besi.
	Besi	This is function SpecialFuncs.Besi.
	Besj	Bessel function of the first kind Jn(Z) (Complex argument).
	Besj	Bessel function of the first kind Jn(Z) (Complex argument, can be scaled).
	Besj	Bessel function of the first kind Jn(Z) (Real argument).
	Besj	Bessel function of the first kind Jn(A) (Real argument, can be scaled).
	Besj	This is function SpecialFuncs.Besj.
	Besj	This is function SpecialFuncs.Besj.
	Besj	This is function SpecialFuncs.Besj.
	Besj	This is function SpecialFuncs.Besj.
	Besk	Modified Bessel function of the second kind Kn(Z) (complex argument).
	Besk	Bessel function of the second kind Kn(Z) (Complex argument, can be scaled).
	Besk	Modified Bessel function of the second kind Kn(A) (real argument).
	Besk	Bessel function of the second kind Kn(A) (Real argument, can be scaled).
	Besk	This is function SpecialFuncs.Besk.
	Besk	This is function SpecialFuncs.Besk.
	Besk	This is function SpecialFuncs.Besk.
	Besk	This is function SpecialFuncs.Besk.
	Besy	Bessel function of the second kind Yn(Z) (Complex argument).
	Besy	Bessel function of the second kind Yn(Z) (Complex argument, can be scaled).
	Besy	Bessel function of the second kind Yn(Z) (Real argument).
	Besy	Bessel function of the second kind Yn(A) (Real argument, can be scaled).
	Besy	This is function SpecialFuncs.Besy.
	Besy	This is function SpecialFuncs.Besy.
	Besy	This is function SpecialFuncs.Besy.
	Besy	This is function SpecialFuncs.Besy.
	Biry	Airy function of the second kind (Complex argument).
	Biry	Airy function of the second kind or it's derivative (Complex argument, allows derivative or scale.
	Biry	This is function SpecialFuncs.Biry.
	Biry	This is function SpecialFuncs.Biry.
	Biry	Airy function of the second kind (Real argument).
	Biry	Airy function or it's derivative of the second kind (Real argument, allows derivative and scale).
	Biry	This is function SpecialFuncs.Biry.
	Biry	This is function SpecialFuncs.Biry.
	EllipComplete	Complete elliptic integral.
	EllipComplete	Complete elliptic integral, additional options.
	EllipComplete	This is function SpecialFuncs.EllipComplete.
	EllipComplete	This is function SpecialFuncs.EllipComplete.
	EllipJacoby	Jacoby elliptic functions.
	EllipJacoby	This is function SpecialFuncs.EllipJacoby.
	LegendreP	Associated Legendre polynomial P(l,m,x).
	LegendreP	This is function SpecialFuncs.LegendreP.
	LegendreP	The associated Legendre polynomial P(l,0,x), (m = 0).
	LegendreP	The associated Legendre polynomials for l= 0.. n, P(l,0,x).
	LegendreP	This is function SpecialFuncs.LegendreP.
	LegendreP	This is function SpecialFuncs.LegendreP.

Links

Legend, Topics, Functions

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