IJPAM: Volume 98, No. 2 (2015)
Università Telematica Internazionale Uninettuno
Universidad Complutense de Madrid
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
Pages: 261 - 273