specfun_stdcplx.h

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/* Andreas Ahnland <ahland@hft.e-technik.uni-dortmund.de> */
/* $Id: specfun_stdcplx.h,v 1.1.2.6 2019/05/28 11:13:02 garloff Exp $ */

#ifndef TBCI_SPECFUN_STDCPLX_H
#define TBCI_SPECFUN_STDCPLX_H

#include "tbci/std_cplx.h"

NAMESPACE_TBCI

CPLX__ complex<double> besselh1(double order, const CPLX__ complex<double>& z);
CPLX__ complex<double> besselh2(double order, const CPLX__ complex<double>& z);

CPLX__ complex<double> besseli (double order, const CPLX__ complex<double>& z);
CPLX__ complex<double> besselj (double order, const CPLX__ complex<double>& z);
CPLX__ complex<double> besselk (double order, const CPLX__ complex<double>& z);
CPLX__ complex<double> bessely (double order, const CPLX__ complex<double>& z);

CPLX__ complex<double> gamma(const CPLX__ complex<double>& z);


// Kummer Function: (Hypergeometric1F1) is a solution to the diff-eq.
//            zf"(z) + (a-z)f'(z) - bf(z) = 0  
CPLX__ complex<double> HypergeometricM(const CPLX__ complex<double>& a, const CPLX__ complex<double>& b,
                             const CPLX__ complex<double>& z);
CPLX__ complex<double> HypergeometricU(const CPLX__ complex<double>& a, const CPLX__ complex<double>& b,
                             const CPLX__ complex<double>& z);

// Hypergeometric function 2F1
CPLX__ complex<double> hyper2geom1 (const CPLX__ complex<double>& a, const CPLX__ complex<double>& b,
                                    const CPLX__ complex<double>& c, const CPLX__ complex<double>& z);

NAMESPACE_END

#endif  /* TBCI_SPECFUN_STDCPLX_H */