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

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

Definition at line 62 of file specfun.cpp.

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

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

Definition at line 86 of file specfun.cpp.

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

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

Definition at line 135 of file specfun.cpp.

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

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

Definition at line 110 of file specfun.cpp.

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

Referenced by bessely().

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

Definition at line 160 of file specfun.cpp.

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

Referenced by besseli().

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

Definition at line 183 of file specfun.cpp.

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

Referenced by besselj().

cplx<double> gamma

(

const cplx< double > &

z

)

Definition at line 39 of file specfun.cpp.

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

Referenced by HypergeometricU(), and QMR().

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

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

Definition at line 49 of file specfun.cpp.

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

Referenced by 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 gamma(), HypergeometricM(), doublecomplex::i, cplx< T >::imag(), pi, pow_zz(), doublecomplex::r, cplx< T >::real(), res, and z_sin().