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Research Article

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

M
Madhav Prasad Poudel School of Engineering, Pokhara University, Kaski, Pokhara, NEPAL
S
Sunil D. Singh Department of Mathematics, The Institute of Science, Dr. Homi Bhabha University, Madan Cama Road Mumbai, INDIA
A
Arjun K. Rathie Department of Mathematics, Vedant College of Engineering & Technology (Rajasthan Technical University) Tulsi, Jakhamund, Bundi, Rajasthan, INDIA
Volume 11, Issue 2 Pages 125-136 June 30, 2024 176 downloads
Article overview

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 functionGeneralized hypergeometric functionWatson summation theorem.

AMS Subject Classification

33C20.

Reference information

How to Cite

Madhav Prasad Poudel, Sunil D. Singh, Arjun K. Rathie (2024). A NOTE ON TWO INTEGRALS INVOLVING PRODUCT OF TWO GENERALIZED HYPERGEOMETRIC FUNCTIONS. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 11(2), 125-136.
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