Some Families of the Eulerian Integrals Involving Generalized Hypergeometric Functions

Eulerian Integrals Involving Generalized Hypergeometric Functions

Abstract

In this paper, we established a family of unified Eulerian integrals involving generalized hypergeometric function by employing generalized summation theorems for the series $_{3}F_{2}$ such as generalized Watson's theorem, generalized Dixon's theorem and generalized Whipple's theorem. Various special cases are deduced as consequences of our main theorems.