A NOTE ON TWO INTEGRALS INVOLVING PRODUCT OF TWO GENERALIZED HYPERGEOMETRIC FUNCTIONS

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 18

Volume : 11 , Issue : 2
DOI: https://doi.org/10.56827/JRSMMS.2024.1102.9
Author :
Madhav Prasad Poudel (School of Engineering, Pokhara University, Kaski, Pokhara, NEPAL)
Sunil D. Singh (Department of Mathematics, The Institute of Science, Dr. Homi Bhabha University, Madan Cama Road Mumbai, INDIA)
Arjun K. Rathie (Department of Mathematics, Vedant College of Engineering & Technology (Rajasthan Technical University) Tulsi, Jakhamund, Bundi, Rajasthan, INDIA)

Abstract

In this note, two interesting integrals involving the product of two generalized hypergeometric functions have been evaluated in terms of gamma function. The results are derived with the help of a known integral involving hypergeometric function recorded in the paper of Lavoie and Trottlier. We also give several interesting special cases of our main findings.

Keywords and Phrases

Hypergeometric function, Generalized hypergeometric function, Watson summation theorem.

A.M.S. subject classification

33C20.

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