A Study of Extensions of Classical Summation Theorems for the Series 3F2 and 4F3 with Applications

Mohamed M. Awad, Wolfram Koepf*, Asmaa O. Mohammed, Medhat A. Rakha, Arjun K. Rathie

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Very recently, Masjed-Jamei & Koepf [Some summation theorems for generalized hypergeometric functions, Axioms, 2018, 7, 38, 10.3390/axioms 7020038] established some summation theorems for the generalized hypergeometric functions. The aim of this paper is to establish extensions of some of their summation theorems in the most general form. As an application, several Eulerian-type and Laplace-type integrals have also been given. Results earlier obtained by Jun et al. and Koepf et al. follow special cases of our main findings.

Original languageEnglish
Article number65
JournalResults in Mathematics
Volume76
Issue number2
DOIs
Publication statusPublished - May 2021
Externally publishedYes

Keywords

  • classical summation theorems
  • generalizations and extensions
  • Generalized hypergeometric function

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Applied Mathematics

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