specfun.h File Reference

Declarations for some special functions. More...

#include "tbci/cplx.h"

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

Detailed Description

Declarations for some special functions.

Definition in file specfun.h.

Function Documentation

besselh1()

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

Definition at line 62 of file specfun.cpp.

References besselh1(), cplx< T >::cplx, exp(), fabs(), cplx< T >::imag(), LONG_, MATH__, pi, cplx< T >::real(), and zbesh_().

Referenced by besselh1(), and besselh1().

besselh2()

cplx< double > besselh2	(	double	order,
		const cplx< double > &	z )

Definition at line 86 of file specfun.cpp.

References besselh2(), cplx< T >::cplx, exp(), fabs(), cplx< T >::imag(), LONG_, MATH__, pi, cplx< T >::real(), and zbesh_().

Referenced by besselh2(), and besselh2().

besseli()

cplx< double > besseli	(	double	order,
		const cplx< double > &	z )

Definition at line 135 of file specfun.cpp.

References besseli(), besselk(), cplx< T >::cplx, fabs(), cplx< T >::imag(), LONG_, MATH__, pi, cplx< T >::real(), sin(), and zbesi_().

Referenced by besseli(), and besseli().

besselj()

cplx< double > besselj	(	double	order,
		const cplx< double > &	z )

Definition at line 110 of file specfun.cpp.

References besselj(), bessely(), cos(), cplx< T >::cplx, fabs(), cplx< T >::imag(), LONG_, MATH__, pi, cplx< T >::real(), sin(), and zbesj_().

Referenced by besselj(), besselj(), bessely(), and bessely().

besselk()

cplx< double > besselk	(	double	order,
		const cplx< double > &	z )

Definition at line 160 of file specfun.cpp.

References besselk(), cplx< T >::cplx, fabs(), cplx< T >::imag(), LONG_, MATH__, cplx< T >::real(), and zbesk_().

Referenced by besseli(), besseli(), besselk(), and besselk().

bessely()

cplx< double > bessely	(	double	order,
		const cplx< double > &	z )

Definition at line 183 of file specfun.cpp.

References besselj(), bessely(), cos(), cplx< T >::cplx, fabs(), cplx< T >::imag(), LONG_, MATH__, pi, cplx< T >::real(), sin(), and zbesy_().

Referenced by besselj(), besselj(), bessely(), and bessely().

gamma()

cplx< double > gamma

(

const cplx< double > &

z

)

Definition at line 39 of file specfun.cpp.

References arg(), cgamma_(), cplx< T >::cplx, gamma(), complex::i, cplx< T >::imag(), complex::r, and cplx< T >::real().

Referenced by gamma(), gamma(), HypergeometricU(), HypergeometricU(), and QMR().

hyper2geom1()

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

References a, b, c, hyper2geom1(), and NAMESPACE_END.

Referenced by hyper2geom1(), hyper2geom1(), hyper2geom1(), and hyper2geom1().

HypergeometricM()

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

Definition at line 49 of file specfun.cpp.

References a, b, conhyp_(), cplx< T >::cplx, doublecomplex, HypergeometricM(), doublecomplex::i, LONG_, and doublecomplex::r.

Referenced by HypergeometricM(), HypergeometricM(), HypergeometricU(), and HypergeometricU().

HypergeometricU()

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

Definition at line 15 of file specfun.cpp.

References a, b, cplx< T >::cplx, doublecomplex, gamma(), HypergeometricM(), HypergeometricU(), doublecomplex::i, pi, pow_zz(), doublecomplex::r, res, and z_sin().

Referenced by HypergeometricU(), and HypergeometricU().