Integrals formulas involving confluent hypergeometric Functions of three variables Ф\(_2^{(3)}\) and Ѱ\(_2^{(3)}\)

Abstract

The aim of this paper is to establish two general integral formulas involving confluent hypergeometric functions of three variables Ф2(3) and Ѱ2(3) with the help of two extension formulas for Lauricella’s functions of three variables FA(3) and FD(3) due to Atash [1] and Atash and Bellehaj [2]. Some applications of our main results are also presented.