LINEAR INDEPENDENT SOLUTIONS AND RECURSION
FORMULAS FOR THE QUADRUPLE HYPERGEOMETRIC
FUNCTIONS X31(4)
Ayed Al e'damat1, Jihad Younis2
1 Department of Mathematics
Al- Hussein Bin Talal University
P. O. Box 20, Ma'an, JORDAN
2 Department of Mathematics
Aden University, YEMEN

Abstract

Very recently, Younis and Bin-Saad [#!13!#] introduced twenty new complete quadruple hypergeometric functions, namely $X_{31}^{(4)}, X_{32}^{(4)}, ..., X_{50}^{(4)}$. In this article, we present the solutions of systems of partial differential equations for hypergeometric function in four variables $X_{31}^{(4)}$. We also obtain some recursion formulas for the function $X_{31}^{(4)}$.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 36
Issue: 3
Year: 2023

DOI: 10.12732/ijam.v36i3.2

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