GENERALIZATION OF MULTI-VARIABLE MODIFIED HERMITE MATRIX POLYNOMIALS AND ITS APPLICATIONS

In this paper, we get acquainted to a new generalization of the modified Hermite matrix polynomials. An explicit represen-tation and expansion of the Matrix exponential in a series of these matrix polynomials is obtained. Some important properties of Mod-ified Hermite Matrix polynomials such as generating functions, re-currence relations which allow us a mathematical operations. Also we drive expansion formulae and some operational representations.