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 Kampe de Feriet hypergeometric function. We discuss the region of convergence of Appell matrix functions and Kampe de Feriet hypergeometric matrix function. The integral representations and innite matrix summation formulas associated with the Appell matrix functions are also given.

Key words: Special matrix functions, matrix functional calculus.