Certain Generating Functions Involving Some Hypergeometric Series of Four Variables by Means of Operational Representations

Jihad A. Younis¹, Maged G. Bin-Saad¹ and Kottakkaran S. Nisar^2,

¹Department of Mathematics, Aden University, Aden, Yemen

²Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia

Cite this paper:
Jihad A. Younis, Maged G. Bin-Saad and Kottakkaran S. Nisar. Certain Generating Functions Involving Some Hypergeometric Series of Four Variables by Means of Operational Representations. Turkish Journal of Analysis and Number Theory. 2020; 8(6):97-106. doi: 10.12691/tjant-8-6-1

Abstract

The main aim of this present paper is to present certain generating functions of some hypergeometric functions in four variables by using the integral and symbolic representations for these quadruple functions. A few interesting special cases have also been considered.

Keywords:
Laplace integrals symbolic representations quadruple hypergeometric functions generating functions

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