Novel reductions of Kampé de Férriet function

Abstract

The aim of this article is to provide in all thirty two novel and general reductions of two and three variables generalized hypergeometric functions. This is achieved by the applications of the so-called Beta integral transform method developed by Krattenthaler and Srinivasa Rao, and Gamma integral method to the well known identities involving products of generalized hypergeometric functions. As special cases, we mention a few known as well as unknown interesting results.