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 H_{m,n}(x,y) and at the same time as a generalization of the Gould-Hopper Hermite polynomials of type H_n(x,y). 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.
A NOTE ON A SPECIAL CLASS OF HERMITE POLYNOMIALS
Cesarano C;Fornaro C;
2015-01-01
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 H_{m,n}(x,y) and at the same time as a generalization of the Gould-Hopper Hermite polynomials of type H_n(x,y). 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.File in questo prodotto:
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