G. Dattoli, M. Migliorati, H. M. Srivastava
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-Kampé de Fériet
polynomials, operational methods, special functions and polynomials.
MSC 2000: Primary 33C10, 33C45; Secondary 33C50