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 solutions 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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References
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