Generalized Bessel Functions and Generalized Hermite Polynomials

In this note we show that generalized Hermite polynomials of the Gould-Hopper type are linked to the multivariables generalized Bessel functions. We show that such a formalism encompasses both first and second kind Gould-Hopper polynomials and that their recurrence properties are straightforwardly derived from those of generalized Bessel functions