New hypergeometric transformations
type: Item
instance of: scholarly article
title: New hypergeometric transformations
zbMATH Open document ID: 0928.33002
DOI: 10.1016/S0377-0427(97)00235-5
published in: Journal of Computational and Applied Mathematics
publication date: 2000-01-19T00:00:00Z
review text: Considering a double series, rearranging terms with a slight change of notation, giving a particular value to one of the variables and applying Gauss's summation theorem, a hypergeometric identity is obtained which is a transformation of a well-poised \(6F_5(-1)\) series into a Clausen function of unit argument. Another result which is derivable similarly is stated without proof.
Mathematics Subject Classification ID: 33C20
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 11Y35
zbMATH DE Number: 1326323
zbMATH Keywords: Dixon's theorem
zbMATH Keywords: Gauss's summation theorem
zbMATH Keywords: Clausen function
author: H. Exton
reviewed by: K. M. Saksena
MaRDI profile type: Publication
cites work: Q4103811
cites work: Q5508372
description: scientific article; zbMATH DE number 1326323