Comments on "new hypergeometric identities arising from gauss's second summation theorem"

Medhat K. Rakha, Arjun K. Rathie, Purnima Chopra, Richard B. Paris

Research output: Contribution to journalArticle

Abstract

In 1997, Exton [J. Comput. Appl. Math. 88 (1997) 269-274] obtained a general transformation involving hypergeometric functions by elementary manipulation of series. A number of hypergeometric identities that had not been previously recorded in the literature were then deduced by application of Gauss' second summation theorem and other known hypergeometric summation theorems. However, some of the results stated by Exton contain errors. It is the purpose of this note to present the corrected forms of these hypergeometric identities. 2000 Mathematics Subject Classification: 33C20; 68Q40.

Original languageEnglish
Pages (from-to)87-89
Number of pages3
JournalMiskolc Mathematical Notes
Volume13
Issue number1
Publication statusPublished - 2012

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Keywords

  • Generalized hypergeometric series
  • Hypergeometric identities

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis
  • Control and Optimization
  • Discrete Mathematics and Combinatorics
  • Numerical Analysis

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