On A Matrix Hypergeometric Differential Equation
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Special functions., A matrix Hypergeometric differential Equation., Matrix, Gamma function., Jordan Canonical Form.
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.
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