Some Families of the Eulerian Integrals Involving Generalized Hypergeometric Functions: Eulerian Integrals Involving Generalized Hypergeometric Functions

Shoukat  Ali; Deepak Kumar; Subrat  Parida; Sunil Dutt Purohit

doi:10.5269/bspm.77982

Some Families of the Eulerian Integrals Involving Generalized Hypergeometric Functions

Eulerian Integrals Involving Generalized Hypergeometric Functions

Authors

Shoukat Ali Government Engineering College Bikaner
Deepak Kumar Government Engineering College Bikaner
Subrat Parida Pondicherry University-A Central University
Sunil Dutt Purohit Rajasthan Technical University, Kota

DOI:

https://doi.org/10.5269/bspm.77982

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.