Mathematical Special Functions

Collaboration diagram for Mathematical Special Functions:

Functions
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type	std::tr1::assoc_laguerre (unsigned int __n, unsigned int __m, _Tp __x)
float	std::tr1::assoc_laguerref (unsigned int __n, unsigned int __m, float __x)
long double	std::tr1::assoc_laguerrel (unsigned int __n, unsigned int __m, long double __x)
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type	std::tr1::assoc_legendre (unsigned int __l, unsigned int __m, _Tp __x)
float	std::tr1::assoc_legendref (unsigned int __l, unsigned int __m, float __x)
long double	std::tr1::assoc_legendrel (unsigned int __l, unsigned int __m, long double __x)
template<typename _Tpx , typename _Tpy >
__gnu_cxx::__promote_2< _Tpx, _Tpy >::__type	std::tr1::beta (_Tpx __x, _Tpy __y)
float	std::tr1::betaf (float __x, float __y)
long double	std::tr1::betal (long double __x, long double __y)
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type	std::tr1::comp_ellint_1 (_Tp __k)
float	std::tr1::comp_ellint_1f (float __k)
long double	std::tr1::comp_ellint_1l (long double __k)
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type	std::tr1::comp_ellint_2 (_Tp __k)
float	std::tr1::comp_ellint_2f (float __k)
long double	std::tr1::comp_ellint_2l (long double __k)
template<typename _Tp , typename _Tpn >
__gnu_cxx::__promote_2< _Tp, _Tpn >::__type	std::tr1::comp_ellint_3 (_Tp __k, _Tpn __nu)
float	std::tr1::comp_ellint_3f (float __k, float __nu)
long double	std::tr1::comp_ellint_3l (long double __k, long double __nu)
template<typename _Tpa , typename _Tpc , typename _Tp >
__gnu_cxx::__promote_3< _Tpa, _Tpc, _Tp >::__type	std::tr1::conf_hyperg (_Tpa __a, _Tpc __c, _Tp __x)
float	std::tr1::conf_hypergf (float __a, float __c, float __x)
long double	std::tr1::conf_hypergl (long double __a, long double __c, long double __x)
template<typename _Tpnu , typename _Tp >
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type	std::tr1::cyl_bessel_i (_Tpnu __nu, _Tp __x)
float	std::tr1::cyl_bessel_if (float __nu, float __x)
long double	std::tr1::cyl_bessel_il (long double __nu, long double __x)
template<typename _Tpnu , typename _Tp >
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type	std::tr1::cyl_bessel_j (_Tpnu __nu, _Tp __x)
float	std::tr1::cyl_bessel_jf (float __nu, float __x)
long double	std::tr1::cyl_bessel_jl (long double __nu, long double __x)
template<typename _Tpnu , typename _Tp >
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type	std::tr1::cyl_bessel_k (_Tpnu __nu, _Tp __x)
float	std::tr1::cyl_bessel_kf (float __nu, float __x)
long double	std::tr1::cyl_bessel_kl (long double __nu, long double __x)
template<typename _Tpnu , typename _Tp >
__gnu_cxx::__promote_2< _Tpnu, _Tp >::__type	std::tr1::cyl_neumann (_Tpnu __nu, _Tp __x)
float	std::tr1::cyl_neumannf (float __nu, float __x)
long double	std::tr1::cyl_neumannl (long double __nu, long double __x)
template<typename _Tp , typename _Tpp >
__gnu_cxx::__promote_2< _Tp, _Tpp >::__type	std::tr1::ellint_1 (_Tp __k, _Tpp __phi)
float	std::tr1::ellint_1f (float __k, float __phi)
long double	std::tr1::ellint_1l (long double __k, long double __phi)
template<typename _Tp , typename _Tpp >
__gnu_cxx::__promote_2< _Tp, _Tpp >::__type	std::tr1::ellint_2 (_Tp __k, _Tpp __phi)
float	std::tr1::ellint_2f (float __k, float __phi)
long double	std::tr1::ellint_2l (long double __k, long double __phi)
template<typename _Tp , typename _Tpn , typename _Tpp >
__gnu_cxx::__promote_3< _Tp, _Tpn, _Tpp >::__type	std::tr1::ellint_3 (_Tp __k, _Tpn __nu, _Tpp __phi)
float	std::tr1::ellint_3f (float __k, float __nu, float __phi)
long double	std::tr1::ellint_3l (long double __k, long double __nu, long double __phi)
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type	std::tr1::expint (_Tp __x)
float	std::tr1::expintf (float __x)
long double	std::tr1::expintl (long double __x)
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type	std::tr1::hermite (unsigned int __n, _Tp __x)
float	std::tr1::hermitef (unsigned int __n, float __x)
long double	std::tr1::hermitel (unsigned int __n, long double __x)
template<typename _Tpa , typename _Tpb , typename _Tpc , typename _Tp >
__gnu_cxx::__promote_4< _Tpa, _Tpb, _Tpc, _Tp >::__type	std::tr1::hyperg (_Tpa __a, _Tpb __b, _Tpc __c, _Tp __x)
float	std::tr1::hypergf (float __a, float __b, float __c, float __x)
long double	std::tr1::hypergl (long double __a, long double __b, long double __c, long double __x)
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type	std::tr1::laguerre (unsigned int __n, _Tp __x)
float	std::tr1::laguerref (unsigned int __n, float __x)
long double	std::tr1::laguerrel (unsigned int __n, long double __x)
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type	std::tr1::legendre (unsigned int __n, _Tp __x)
float	std::tr1::legendref (unsigned int __n, float __x)
long double	std::tr1::legendrel (unsigned int __n, long double __x)
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type	std::tr1::riemann_zeta (_Tp __x)
float	std::tr1::riemann_zetaf (float __x)
long double	std::tr1::riemann_zetal (long double __x)
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type	std::tr1::sph_bessel (unsigned int __n, _Tp __x)
float	std::tr1::sph_besself (unsigned int __n, float __x)
long double	std::tr1::sph_bessell (unsigned int __n, long double __x)
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type	std::tr1::sph_legendre (unsigned int __l, unsigned int __m, _Tp __theta)
float	std::tr1::sph_legendref (unsigned int __l, unsigned int __m, float __theta)
long double	std::tr1::sph_legendrel (unsigned int __l, unsigned int __m, long double __theta)
template<typename _Tp >
__gnu_cxx::__promote< _Tp >::__type	std::tr1::sph_neumann (unsigned int __n, _Tp __x)
float	std::tr1::sph_neumannf (unsigned int __n, float __x)
long double	std::tr1::sph_neumannl (unsigned int __n, long double __x)

Detailed Description

A collection of advanced mathematical special functions.

Function Documentation

template<typename _Tp >

__gnu_cxx::__promote<_Tp>::__type std::tr1::assoc_laguerre ( unsigned int  __n, unsigned int  __m, _Tp  __x  )

inline

5.2.1.1 Associated Laguerre polynomials.

Definition at line 1132 of file tr1/cmath.

template<typename _Tp >

__gnu_cxx::__promote<_Tp>::__type std::tr1::assoc_legendre ( unsigned int  __l, unsigned int  __m, _Tp  __x  )

inline

5.2.1.2 Associated Legendre functions.

Definition at line 1149 of file tr1/cmath.

template<typename _Tpx , typename _Tpy >

__gnu_cxx::__promote_2<_Tpx, _Tpy>::__type std::tr1::beta ( _Tpx  __x, _Tpy  __y  )

inline

5.2.1.3 Beta functions.

Definition at line 1166 of file tr1/cmath.

template<typename _Tp >

__gnu_cxx::__promote<_Tp>::__type std::tr1::comp_ellint_1 ( _Tp  __k )

inline

5.2.1.4 Complete elliptic integrals of the first kind.

Definition at line 1183 of file tr1/cmath.

template<typename _Tp >

__gnu_cxx::__promote<_Tp>::__type std::tr1::comp_ellint_2 ( _Tp  __k )

inline

5.2.1.5 Complete elliptic integrals of the second kind.

Definition at line 1200 of file tr1/cmath.

template<typename _Tp , typename _Tpn >

__gnu_cxx::__promote_2<_Tp, _Tpn>::__type std::tr1::comp_ellint_3 ( _Tp  __k, _Tpn  __nu  )

inline

5.2.1.6 Complete elliptic integrals of the third kind.

Definition at line 1217 of file tr1/cmath.

template<typename _Tpa , typename _Tpc , typename _Tp >

__gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type std::tr1::conf_hyperg ( _Tpa  __a, _Tpc  __c, _Tp  __x  )

inline

5.2.1.7 Confluent hypergeometric functions.

Definition at line 1234 of file tr1/cmath.

template<typename _Tpnu , typename _Tp >

__gnu_cxx::__promote_2<_Tpnu, _Tp>::__type std::tr1::cyl_bessel_i ( _Tpnu  __nu, _Tp  __x  )

inline

5.2.1.8 Regular modified cylindrical Bessel functions.

Definition at line 1251 of file tr1/cmath.

template<typename _Tpnu , typename _Tp >

__gnu_cxx::__promote_2<_Tpnu, _Tp>::__type std::tr1::cyl_bessel_j ( _Tpnu  __nu, _Tp  __x  )

inline

5.2.1.9 Cylindrical Bessel functions (of the first kind).

Definition at line 1268 of file tr1/cmath.

template<typename _Tpnu , typename _Tp >

__gnu_cxx::__promote_2<_Tpnu, _Tp>::__type std::tr1::cyl_bessel_k ( _Tpnu  __nu, _Tp  __x  )

inline

5.2.1.10 Irregular modified cylindrical Bessel functions.

Definition at line 1285 of file tr1/cmath.

template<typename _Tpnu , typename _Tp >

__gnu_cxx::__promote_2<_Tpnu, _Tp>::__type std::tr1::cyl_neumann ( _Tpnu  __nu, _Tp  __x  )

inline

5.2.1.11 Cylindrical Neumann functions.

Definition at line 1302 of file tr1/cmath.

template<typename _Tp , typename _Tpp >

__gnu_cxx::__promote_2<_Tp, _Tpp>::__type std::tr1::ellint_1 ( _Tp  __k, _Tpp  __phi  )

inline

5.2.1.12 Incomplete elliptic integrals of the first kind.

Definition at line 1319 of file tr1/cmath.

template<typename _Tp , typename _Tpp >

__gnu_cxx::__promote_2<_Tp, _Tpp>::__type std::tr1::ellint_2 ( _Tp  __k, _Tpp  __phi  )

inline

5.2.1.13 Incomplete elliptic integrals of the second kind.

Definition at line 1336 of file tr1/cmath.

template<typename _Tp , typename _Tpn , typename _Tpp >

__gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type std::tr1::ellint_3 ( _Tp  __k, _Tpn  __nu, _Tpp  __phi  )

inline

5.2.1.14 Incomplete elliptic integrals of the third kind.

Definition at line 1353 of file tr1/cmath.

template<typename _Tp >

__gnu_cxx::__promote<_Tp>::__type std::tr1::expint ( _Tp  __x )

inline

5.2.1.15 Exponential integrals.

Definition at line 1370 of file tr1/cmath.

template<typename _Tp >

__gnu_cxx::__promote<_Tp>::__type std::tr1::hermite ( unsigned int  __n, _Tp  __x  )

inline

5.2.1.16 Hermite polynomials.

Definition at line 1387 of file tr1/cmath.

template<typename _Tpa , typename _Tpb , typename _Tpc , typename _Tp >

__gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type std::tr1::hyperg ( _Tpa  __a, _Tpb  __b, _Tpc  __c, _Tp  __x  )

inline

5.2.1.17 Hypergeometric functions.

Definition at line 1404 of file tr1/cmath.

template<typename _Tp >

__gnu_cxx::__promote<_Tp>::__type std::tr1::laguerre ( unsigned int  __n, _Tp  __x  )

inline

5.2.1.18 Laguerre polynomials.

Definition at line 1421 of file tr1/cmath.

template<typename _Tp >

__gnu_cxx::__promote<_Tp>::__type std::tr1::legendre ( unsigned int  __n, _Tp  __x  )

inline

5.2.1.19 Legendre polynomials.

Definition at line 1438 of file tr1/cmath.

template<typename _Tp >

__gnu_cxx::__promote<_Tp>::__type std::tr1::riemann_zeta ( _Tp  __x )

inline

5.2.1.20 Riemann zeta function.

Definition at line 1455 of file tr1/cmath.

template<typename _Tp >

__gnu_cxx::__promote<_Tp>::__type std::tr1::sph_bessel ( unsigned int  __n, _Tp  __x  )

inline

5.2.1.21 Spherical Bessel functions.

Definition at line 1472 of file tr1/cmath.

template<typename _Tp >

__gnu_cxx::__promote<_Tp>::__type std::tr1::sph_legendre ( unsigned int  __l, unsigned int  __m, _Tp  __theta  )

inline

5.2.1.22 Spherical associated Legendre functions.

Definition at line 1489 of file tr1/cmath.

template<typename _Tp >

__gnu_cxx::__promote<_Tp>::__type std::tr1::sph_neumann ( unsigned int  __n, _Tp  __x  )

inline

5.2.1.23 Spherical Neumann functions.

Definition at line 1506 of file tr1/cmath.