A unified presentation of some families of multivariable polynomials

In this paper, we present a systematic investigation of a unification (and generalization) of the Chan-Chyan-Srivastava multivariable polynomials and the multivariable extension of the familiar Lagrange-Hermite polynomials. We derive various classes of multilinear and mixed multilateral generating functions for these unified polynomials. We also discuss other miscellaneous properties of these general families of multivariable polynomials.