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. © 1993 Academic Press, Inc.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
Dattoli, G., Chiccoli, C., Lorenzutta, S., Maino, G., & Torre, A. (1993). Generalized Bessel Functions and Generalized Hermite Polynomials. Journal of Mathematical Analysis and Applications, 178(2), 509 - 516. https://doi.org/10.1006/jmaa.1993.1321