Explicit And Identities For Gamma Function And Hy Pergeometric Function

Abstract

Equations involving the gamma and hypergeometric functions are of great interest to mathematicians and scientists, and newly proven iden tities for these functions assist in nding solutions to di erential and integral equations. In this work we trace a brief history of the develop ment of the gamma function and hypergeometric functions, illustrate the close relationship between them and present a range of their most useful properties and identities from the earliest ones for those devel opment in more recent.Our literature review will show that while con tinued research into hypergeometric identities has generated many new results, some of these can be shown to be variations of known identitie