Multi-variable Gould-Hopper and Laguerre polynomials

The <em>monomiality principle</em> 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 polynomi...

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Bibliographic Details
Main Authors: Caterina Cassisa, Paolo E. Ricci
Format: Article
Language:English
Published: Università degli Studi di Catania 2007-12-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/31
Description
Summary:The <em>monomiality principle</em> 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.
ISSN:0373-3505
2037-5298