Multilateral Generating Functions for Classes of Polynomials Involving Multivariable Laguerre Polynomials

Abstract

In the present paper we consider two certain multivariable classes of polynomials defined through formal generating function relations which involves multivariable Laguerre polynomials. We derive several families of bilinear, bilateral and mixed multilateral finite series relationships and generating functions for these classes, without using group-theoretic (Lie algebraic) method.