Multi-variable Gould-Hopper and Laguerre polynomials

  • Caterina Cassisa Università di Roma “La Sapienza”
  • Paolo E. Ricci Università di Roma “La Sapienza”
Keywords: Exponential operators, Operational calculus, Monomial principle, Gould-Hopfer polynomials, Multi-variable and multi-index Hermite and Laguerre polynomials

Abstract

The monomiality principle was introduced by G. Dattoli, in order to derive the properties of special or generalized polynomials starting from the corresponding ones of monomials. In this article we show a general technique to extend themonomiality approach tomulti-index polynomials in several variables. Application to the case of Hermite, Laguerre-type and mixed-type (i.e. between Laguerre and Hermite) are derived.

Author Biographies

Caterina Cassisa, Università di Roma “La Sapienza”
Dipartimento di Matematica,
P.le A. Moro, 2 – 00185 Roma Italia
Paolo E. Ricci, Università di Roma “La Sapienza”
Dipartimento di Matematica,
P.le A. Moro, 2 – 00185 Roma Italia
Published
2007-12-06
Section
Articoli