A regularization technique for computing the hypergeometric function \(F(a,b;c;z)\)in the neighborhood of the singular points \(z=1\) and \(z= \infty\)
type: Item
instance of: scholarly article
title: A regularization technique for computing the hypergeometric function \(F(a,b;c;z)\)in the neighborhood of the singular points \(z=1\) and \(z= \infty\)
zbMATH Open document ID: 1025.33010
author: S. L. Skorokhodov
published in: Computational Mathematics and Mathematical Physics
publication date: 2003-06-29T00:00:00Z
review text: In this paper the author suggests a new technique for the computation of the Gauss hypergeometric function \(F(a,b;c;z)\) in the neighborhood of the singular points \(z=1\) and \(z=\infty\) for the values of the complex parameters \(a,b,\) and \(c\) in the vicinity of the poles. In order to avoid operations with very large numbers and the corresponding loss of accuracy in the calculation a new regularization method is proposed. Ref. 20 in number.
Mathematics Subject Classification ID: 33F05
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 65D20
zbMATH DE Number: 1940565
zbMATH Keywords: Gauss hypergeometric function
zbMATH Keywords: computing
zbMATH Keywords: singular points
zbMATH Keywords: pole
zbMATH Keywords: regularization method
zbMATH Keywords: accuracy
zbMATH Keywords: efficiency
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1940565