Construction of some hybrid relatives of Laguerre-Appell polynomials associated with Gould-Hopper matrix polynomials

The present work deals with the mathematical investigation of the hybrid family of special matrix polynomials. The main aim of this article is to introduce the Gould-Hopper-Laguerre-Appell matrix polynomials using operational methods and to investigate their properties. The inclusion of the derivation of series and operational representations brings a novelty to the existing literature. The quasi-monomial properties of these matrix special polynomials are also established. The graphical representations of the members belonging to the Gould-Hopper-Laguerre-Appell matrix family are explored for suitable values of indices. Moreover, the integral transforms and operational rules are used to obtain the generalized form of Gould-Hopper-Laguerre-Appell matrix polynomials.