TBCI Numerical high perf. C++ Library 2.8.0
specfun_stdcplx.h
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1
4/* Andreas Ahnland <ahland@hft.e-technik.uni-dortmund.de> */
5/* $Id: specfun_stdcplx.h,v 1.1.2.6 2019/05/28 11:13:02 garloff Exp $ */
6
7#ifndef TBCI_SPECFUN_STDCPLX_H
8#define TBCI_SPECFUN_STDCPLX_H
9
10#include "tbci/std_cplx.h"
11
12NAMESPACE_TBCI
13
14CPLX__ complex<double> besselh1(double order, const CPLX__ complex<double>& z);
15CPLX__ complex<double> besselh2(double order, const CPLX__ complex<double>& z);
16
17CPLX__ complex<double> besseli (double order, const CPLX__ complex<double>& z);
18CPLX__ complex<double> besselj (double order, const CPLX__ complex<double>& z);
19CPLX__ complex<double> besselk (double order, const CPLX__ complex<double>& z);
20CPLX__ complex<double> bessely (double order, const CPLX__ complex<double>& z);
21
22CPLX__ complex<double> gamma(const CPLX__ complex<double>& z);
23
24
25// Kummer Function: (Hypergeometric1F1) is a solution to the diff-eq.
26// zf"(z) + (a-z)f'(z) - bf(z) = 0
27CPLX__ complex<double> HypergeometricM(const CPLX__ complex<double>& a, const CPLX__ complex<double>& b,
28 const CPLX__ complex<double>& z);
29CPLX__ complex<double> HypergeometricU(const CPLX__ complex<double>& a, const CPLX__ complex<double>& b,
30 const CPLX__ complex<double>& z);
31
32// Hypergeometric function 2F1
33CPLX__ complex<double> hyper2geom1 (const CPLX__ complex<double>& a, const CPLX__ complex<double>& b,
34 const CPLX__ complex<double>& c, const CPLX__ complex<double>& z);
35
36NAMESPACE_END
37
38#endif /* TBCI_SPECFUN_STDCPLX_H */
NAMESPACE_END
#define NAMESPACE_END
Definition basics.h:323
NAMESPACE_TBCI
#define NAMESPACE_TBCI
Definition basics.h:317
c
return c
Definition f_matrix.h:760
b
F_TMatrix< T > b
Definition f_matrix.h:736
a
const unsigned TMatrix< T > const Matrix< T > * a
Definition matrix_kernels.h:26
CPLX__
complex
#define complex
Definition own_lapack_routines.cpp:21
gamma
CPLX__ complex< double > gamma(const CPLX__ complex< double > &z)
Definition specfun_stdcplx.cpp:42
HypergeometricM
CPLX__ complex< double > HypergeometricM(const CPLX__ complex< double > &a, const CPLX__ complex< double > &b, const CPLX__ complex< double > &z)
Definition specfun_stdcplx.cpp:52
besselj
CPLX__ complex< double > besselj(double order, const CPLX__ complex< double > &z)
Definition specfun_stdcplx.cpp:114
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)
besselh2
CPLX__ complex< double > besselh2(double order, const CPLX__ complex< double > &z)
Definition specfun_stdcplx.cpp:90
HypergeometricU
CPLX__ complex< double > HypergeometricU(const CPLX__ complex< double > &a, const CPLX__ complex< double > &b, const CPLX__ complex< double > &z)
Definition specfun_stdcplx.cpp:16
besselk
CPLX__ complex< double > besselk(double order, const CPLX__ complex< double > &z)
Definition specfun_stdcplx.cpp:164
besselh1
NAMESPACE_TBCI CPLX__ complex< double > besselh1(double order, const CPLX__ complex< double > &z)
Definition specfun_stdcplx.cpp:66
besseli
CPLX__ complex< double > besseli(double order, const CPLX__ complex< double > &z)
Definition specfun_stdcplx.cpp:139
bessely
CPLX__ complex< double > bessely(double order, const CPLX__ complex< double > &z)
Definition specfun_stdcplx.cpp:187
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