specfun_stdcplx.h File Reference

Declarations for some special functions. More...

#include "tbci/std_cplx.h"

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Functions
NAMESPACE_TBCI CPLX__ complex< double >	besselh1 (double order, const CPLX__ complex< double > &z)
CPLX__ complex< double >	besselh2 (double order, const CPLX__ complex< double > &z)
CPLX__ complex< double >	besseli (double order, const CPLX__ complex< double > &z)
CPLX__ complex< double >	besselj (double order, const CPLX__ complex< double > &z)
CPLX__ complex< double >	besselk (double order, const CPLX__ complex< double > &z)
CPLX__ complex< double >	bessely (double order, const CPLX__ complex< double > &z)
CPLX__ complex< double >	gamma (const CPLX__ complex< double > &z)
CPLX__ complex< double >	HypergeometricM (const CPLX__ complex< double > &a, const CPLX__ complex< double > &b, const CPLX__ complex< double > &z)
CPLX__ complex< double >	HypergeometricU (const CPLX__ complex< double > &a, const CPLX__ complex< double > &b, const CPLX__ complex< double > &z)
CPLX__ complex< double >	hyper2geom1 (const CPLX__ complex< double > &a, const CPLX__ complex< double > &b, const CPLX__ complex< double > &c, const CPLX__ complex< double > &z)

Detailed Description

Declarations for some special functions.

Definition in file specfun_stdcplx.h.

Function Documentation

besselh1()

NAMESPACE_TBCI CPLX__ complex< double > besselh1	(	double	order,
		const CPLX__ complex< double > &	z )

Definition at line 66 of file specfun_stdcplx.cpp.

References complex, exp(), fabs(), LONG_, MATH__, pi, and zbesh_().

besselh2()

CPLX__ complex< double > besselh2	(	double	order,
		const CPLX__ complex< double > &	z )

Definition at line 90 of file specfun_stdcplx.cpp.

References complex, exp(), fabs(), LONG_, MATH__, pi, and zbesh_().

besseli()

CPLX__ complex< double > besseli	(	double	order,
		const CPLX__ complex< double > &	z )

Definition at line 139 of file specfun_stdcplx.cpp.

References besselk(), complex, fabs(), LONG_, MATH__, pi, sin(), and zbesi_().

besselj()

CPLX__ complex< double > besselj	(	double	order,
		const CPLX__ complex< double > &	z )

Definition at line 114 of file specfun_stdcplx.cpp.

References bessely(), complex, cos(), fabs(), LONG_, MATH__, pi, sin(), and zbesj_().

Referenced by bessely().

besselk()

CPLX__ complex< double > besselk	(	double	order,
		const CPLX__ complex< double > &	z )

Definition at line 164 of file specfun_stdcplx.cpp.

References complex, fabs(), LONG_, MATH__, and zbesk_().

Referenced by besseli().

bessely()

CPLX__ complex< double > bessely	(	double	order,
		const CPLX__ complex< double > &	z )

Definition at line 187 of file specfun_stdcplx.cpp.

References besselj(), complex, cos(), fabs(), LONG_, MATH__, pi, sin(), and zbesy_().

Referenced by besselj().

gamma()

CPLX__ complex< double > gamma

(

const CPLX__ complex< double > &

z

)

Definition at line 42 of file specfun_stdcplx.cpp.

References arg(), cgamma_(), complex, complex::i, and complex::r.

Referenced by HypergeometricU().

hyper2geom1()

CPLX__ complex< double > hyper2geom1	(	const CPLX__ complex< double > &	a,
		const CPLX__ complex< double > &	b,
		const CPLX__ complex< double > &	c,
		const CPLX__ complex< double > &	z )

References a, b, c, complex, and NAMESPACE_END.

HypergeometricM()

CPLX__ complex< double > HypergeometricM	(	const CPLX__ complex< double > &	a,
		const CPLX__ complex< double > &	b,
		const CPLX__ complex< double > &	z )

Definition at line 52 of file specfun_stdcplx.cpp.

References a, b, complex, conhyp_(), doublecomplex, doublecomplex::i, LONG_, and doublecomplex::r.

Referenced by HypergeometricU().

HypergeometricU()

CPLX__ complex< double > HypergeometricU	(	const CPLX__ complex< double > &	a,
		const CPLX__ complex< double > &	b,
		const CPLX__ complex< double > &	z )

Definition at line 16 of file specfun_stdcplx.cpp.

References a, b, complex, doublecomplex, gamma(), HypergeometricM(), doublecomplex::i, pi, pow_zz(), doublecomplex::r, res, and z_sin().