Some generating functions of the Bessel and related orthogonal polynomials

Abstract

Our main object in this article is to present several families of generating functions for the simple Bessel polynomials and the generalized Bessel polynomials . We also investigate and present various potentially useful generating-function relationships involving such other orthogonal polynomial systems as (for example) the Jacobi, Laguerre and Hermite polynomials, together with their specialized and parametrically-varied forms.