MathLAB Journal

Some Integral Representations for Certain Quadruple Hypergeometric Functions

Abstract

Maged G. Bin-Saad, Jihad A. Younis

we aim in this work at establishing new integral representations of Euler type for the Exton hypergeometric
functions of four variables 6 7 8 9 10 K ,K ,K ,K ,K , the Sharma and Parihar hypergeometric functions of four
variables (4)
61
(4)
41
(4)
7 F ,F ,F and the Lauricella function of four variables (4)
A F , whose kernels include the
quadruple hypergeometric functions (4)
10
(4)
9
(4)
8
(4)
7
(4)
6 X , X , X , X , X . Some particular cases and consequences
of our main results are also considered <