Theory of multiindex multivariable Bessel functions and Hermite polynomials

We discuss the theory of multivariable multiindex Bessel functions (B.F.) and Hermite polynomials (H.P.) using the generating function method. We derive addition and multiplication theorems and discuss how generalized H.P. can be exploited as a useful complement to the theory of B.F.. We also discus...

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Bibliographic Details
Published in:Le Matematiche
Main Authors: G. Dattoli, S. Lorenzutta, G. Maino, A. Torre
Format: Article
Language:English
Published: Università degli Studi di Catania 1997-05-01
Subjects:
Hermite polynomials
Appel-Kampé de Fériet polynomials
Bessel functions
Charlier-Poisson polynomials
Anger functions
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/403
Description
Summary:We discuss the theory of multivariable multiindex Bessel functions (B.F.) and Hermite polynomials (H.P.) using the generating function method. We derive addition and multiplication theorems and discuss how generalized H.P. can be exploited as a useful complement to the theory of B.F.. We also discuss the importance of the Poisson-Charlier polynomials in the context of multiindex special functions.<br />
ISSN:0373-3505
2037-5298

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