Some results for the incomplete Lauricella matrix functions of many variables

Abstract

In this paper, we apply the incomplete Pochhammer matrix symbols to introduce incomplete Lauricella matrix functions (ILMFs) of [Formula: see text] variables. Additionally, the integral formula, recursion formula, differentiation formula, and matrix differential equation of ILMFs are all derivations of specific attributes. In addition, we demonstrate a connection between these matrix functions and other matrix functions, such as the incomplete gamma matrix function, the Laguerre, the Bessel, and the modified Bessel matrix functions.