A NOTE ON HERMITE MATRIX BASED NARUMI POLYNOMIALS

A NOTE ON HERMITE MATRIX BASED NARUMI POLYNOMIALS

M. Ali, M. I. Qureshi

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Abstract

In this article, the 2-index 2-variable Hermite matrix based Narumi poly- nomials are introduced by means of generating function. Some important properties including operational representation and quasi-monomiality of these polynomials are es- tablished. For suitable values of indices and variables, the 2-index 2-variable Hermite matrix polynomials yield several special matrix polynomials. Consequently, the results for the corresponding new special polynomials related to Narumi polynomials are pre- sented.

Keywords

2-index 2-variable Hermite matrix polynomials; Narumi polynomials; Mono- miality principle; Operational techniques.