Obtaining generating relations associated with the generalized Gauss hypergeometric function

Abstract

In this paper, some new generating relations involving the generalized hyper- geometric function and the generalized confluent hypergeometric function are established by mainly applying Taylor's Theorem. Due to their very general nature, the main results can be shown to be specialized to yield a large number of new, known, interesting and useful generating relations involving the Gauss hypergeometric function and its related functions.