hyper2geom1.cpp File Reference

#include "tbci/cplx.h"
#include "tbci/specfun.h"
#include <iostream>

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Functions
NAMESPACE_TBCI TBCI__ cplx< double >	hyper2geom1 (const TBCI__ cplx< double > a, const TBCI__ cplx< double > b, const TBCI__ cplx< double > c, const TBCI__ cplx< 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.cpp,v 1.1.2.6 2019/05/28 11:13:02 garloff Exp

Definition in file hyper2geom1.cpp.

Function Documentation

hyper2geom1()

NAMESPACE_TBCI TBCI__ cplx< double > hyper2geom1	(	const TBCI__ cplx< double >	a,
		const TBCI__ cplx< double >	b,
		const TBCI__ cplx< double >	c,
		const TBCI__ cplx< 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.cpp.

References a, b, c, fac, res, STD__, and TBCI__.