On certain hypergeometric identities deducible by using the beta integral method

Adel K. Ibrahim, Medhat A. Rakha, Arjun K. Rathie

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The aim of this research paper is to demonstrate how one can obtain eleven new and interesting hypergeometric identities (in the form of a single result) from the old ones by mainly applying the well-known beta integral method which was used successfully and systematically by Krattenthaler and Rao in their well known, very interesting research papers. The results are derived with the help of generalization of a quadratic transformation formula due to Kummer very recently obtained by Kim et al. Several identities, including one obtained earlier by Krattenthaler and Rao, follow special cases of our main findings. The results established in this paper are simple, interesting, easily established and may be potentially useful.

Original languageEnglish
Article number341
JournalAdvances in Difference Equations
Volume2013
DOIs
Publication statusPublished - Nov 2013

Keywords

  • Beta integral
  • Hypergeometric series
  • Kummer summation theorem

ASJC Scopus subject areas

  • Applied Mathematics
  • Algebra and Number Theory
  • Analysis

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