Mathematical Special Functions


Detailed Description

A collection of advanced mathematical special functions.

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 98 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 115 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 132 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 149 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 166 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 183 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 200 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 217 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 234 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 251 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 268 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 285 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 302 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 319 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 336 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 353 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 370 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 387 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 404 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 421 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 438 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 455 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 472 of file tr1/cmath.


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