The generalized Bessel matrix polynomials

Abstract

In this paper the generalized Bessel matrix polynomials are introduced. An operational relations between a Laguerre matrix polynomials and Wittaker matrix functions are given. A Rodrigues’ formula and The generating function of generalized Bessel matrix polynomials are established. These polynomials appear as finite series solutions of second-order matrix differential equations and orthogonality property for the generalized Bessel matrix polynomials are given.