A note on the Appell matrix functions

Abstract

Appell matrix functions were studied in [4], assuming the commutativity of the considered matrices. In this paper, we extend this work to Appell matrix functions where not all the matrices involved are commuting matrices. We also revisit the matrix version of two variable Kampé de Fériet hypergeometric function. We discuss the region of convergence of Appell matrix functions and Kampé de Fériet hypergeometric matrix function. The integral representations and infinite matrix summation formulas associated with the Appell matrix functions are also given.