eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2020-11-15 8 6 97 106 10.12691/tjant-8-6-1 TJANT2020861 article Certain Generating Functions Involving Some Hypergeometric Series of Four Variables by Means of Operational Representations Jihad A. Younis 1 Maged G. Bin-Saad 1 Kottakkaran S. Nisar n.sooppy@psau.edu.sa 2 Department of Mathematics, Aden University, Aden, Yemen Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia 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. http://pubs.sciepub.com/tjant/8/6/1/tjant-8-6-1.pdf Laplace integrals symbolic representations quadruple hypergeometric functions generating functions