On the incomplete Lauricella matrix functions of several variables

Abstract

In this article, we introduce incomplete Lauricella matrix functions (ILMFs) of $n$ variables through application of the incomplete Pochhammer matrix symbols. Furthermore there is derivation of certain properties; matrix differential equation, integral formula, recursion formula and differentiation formula of the ILMFs. We also establish the connection between these matrix functions and other peculiar matrix functions; incomplete gamma matrix function, Laguerre, Bessel and modified Bessel matrix functions.