IJPAM: Volume 98, No. 2 (2015)




Rome, ITALY

Madrid, SPAIN
Abstract. This paper is devoted to the description of a special class of Hermite polynomials of five variables.
It can be seen as an extension of the generalized vectorial Hermite polynomials of type and at the same time
as a generalization of the Gould-Hopper Hermite polynomials of type
.
We use the five-variable Hermite polynomials to derive reformulations of the well known operational relations satisfied from the generalized Hermite polynomials of different types.
Received: October 11, 2014
AMS Subject Classification: 42C05, 33C45, 33C47
Key Words and Phrases: Hermite polynomials, orthogonal polynomials, generating functions
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DOI: 10.12732/ijpam.v98i2.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 98
Issue: 2
Pages: 261 - 273
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This work is licensed under the Creative Commons Attribution International License (CC BY).