Computing the hypergeometric function
type: Item
instance of: scholarly article
title: Computing the hypergeometric function
zbMATH Open document ID: 0886.65009
author: Robert C. Forrey
published in: Journal of Computational Physics
publication date: 1998-04-13T00:00:00Z
review text: The Gauss hypergeometric function \({}_2F_1(a,b;c;x)\) is computed for real values of the variables \(a, b, c\) and \(x\). Transformation formulas are used to give a suitable \(x-\)interval for the power series. Great care is taken for the divergences that occur for certain values of \(a, b\) and \(c\) in the transformations. Chebyshev expansions are used for gamma functions and for certain combinations of gamma functions. Details of a Fortran program are given.
reviewed by: Nico M. Temme
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 33-04
zbMATH DE Number: 1100744
zbMATH Keywords: Gauss hypergeometric function \(_ 2F_ 1(a,b
zbMATH Keywords: c
zbMATH Keywords: x)\)
zbMATH Keywords: Chebyshev expansions
zbMATH Keywords: gamma functions
zbMATH Keywords: Fortran program
MaRDI profile type: Publication
full work available at URL: jcph.1997.5794
OpenAlex ID: W2078621453
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DOI: 10.1006/JCPH.1997.5794
description: scientific article; zbMATH DE number 1100744