hyper2geom1_stdcplx.cpp File Reference

#include "tbci/basics.h"
#include "tbci/specfun_stdcplx.h"
#include <iostream>

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Functions
NAMESPACE_TBCI CPLX__ complex < double >	hyper2geom1 (const CPLX__ complex< double > a, const CPLX__ complex< double > b, const CPLX__ complex< double > c, const CPLX__ complex< double > z)

Detailed Description

Author

Kurt Garloff kurt@.nosp@m.garl.nosp@m.off.d.nosp@m.e

Date

March 2002 License: GNU LGPL

Version

Id:

hyper2geom1_stdcplx.cpp,v 1.1.2.7 2019/05/28 11:13:02 garloff Exp

Definition in file hyper2geom1_stdcplx.cpp.

Function Documentation

NAMESPACE_TBCI CPLX__ complex<double> hyper2geom1	(	const CPLX__ complex< double >	a,
		const CPLX__ complex< double >	b,
		const CPLX__ complex< double >	c,
		const CPLX__ complex< double >	z
	)

Hypergeometric function 2F1 for complex arguments 2F1 is the solution to the hypergeometric differential equation x(1-x)y" + (c-(1+a+b)x)y' - aby = 0 We just do a summation over the expansion (a_k b_k/c_k * z^k / k!) with a_k := a * (a+1) * ... * (a+k-1)

Definition at line 22 of file hyper2geom1_stdcplx.cpp.

References CPLX__, fac, res, and STD__.