G. Dattoli, M. Migliorati, H. M. Srivastava

Some Families of Generating Functions for the Bessel and Related Functions

Abstract:
The authors apply a certain novel technique based on the combined use of operational methods and of some special multivariable and multi-index polynomials to derive several families of generating functions involving the products of Bessel and related functions. The possibility of extending this technique to the derivation of generating functions of hybrid nature (involving, for example, the product of a Bessel function and Laguerre polynomials) is also investigated.

Keywords:
Generating functions, Bessel and related functions, Laguerre polynomials, Hermite-Kamp de Friet polynomials, operational methods, special functions and polynomials.

MSC 2000: Primary 33C10, 33C45; Secondary 33C50