ON THE (p,q)-ANALOGUE OF HERMITE MATRIX POLYNOMIALS IN THREE VARIABLES

Abstract

The principal object of this paper is to study the (p,q)-analogue of Hermite matrix polynomials in three variables using the generating function method. This study shows a class of (p,q)-analogue of Hermite matrix polynomials with help of the generating functions such as explicit representation and some recurrence relations for these (p,q)-polynomials are derived. The construction and derivation of these results give us an idea of how to handle complex computation involving the parameters p and q.