On A Matrix Hypergeometric Differential Equation

Salah Hamd (1) , Faisal Saleh Abdalla (2) , Ahmed Shletiet (3)
(1) , Libya ,
(2) , Libya ,
(3) , Libya

Abstract

In this paper we consider a matrix Hypergeometric differential equation, which are special matrix functions and solution of a specific second order linear differential equation. The aim of this work is to extend a well known theorem on Hypergeometric  function in the complex plane to a matrix version, and we  show that  the asymptotic expansions of  Hypergeometric  function in the complex plane ” that are given in the literature are special members of our main result. Background and motivation are discussed.

Hamd, S. ., Abdalla, F. S. ., & Shletiet, A. . (2021). On A Matrix Hypergeometric Differential Equation. Journal of Pure & Applied Sciences, 20(1), 182–185. https://doi.org/10.51984/jopas.v20i1.1303

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