A note on Hermite matrix based Narumi polynomials

In this article, the 2-index 2-variable Hermite matrix based Narumi polynomials are introduced by means of generating function. Some important properties including operational representation and quasi-monomiality of these polynomials are established. 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 presented. Emerging Sources Citation Index (ESCI) MathScinet Scopus