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.