Humbert Polynomials and Functions in Terms of Hemite Polynomials | Zendy

Clemente Cesarano | Zendy; Dario Assante | Zendy

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Humbert Polynomials and Functions in Terms of Hemite Polynomials

Author(s) -

Clemente Cesarano,

Dario Assante

Publication year - 2022

Publication title -

international journal of mathematical models and methods in applied sciences

Language(s) - English

Resource type - Journals

ISSN - 1998-0140

DOI - 10.46300/9101.2022.16.14

Subject(s) - laguerre polynomials , hermite polynomials , wilson polynomials , classical orthogonal polynomials , generalization , type (biology) , mathematics , orthogonal polynomials , discrete orthogonal polynomials , difference polynomials , gegenbauer polynomials , algebra over a field , pure mathematics , context (archaeology) , variable (mathematics) , bessel function , mathematical analysis , ecology , paleontology , biology

By starting from the standard definitions of the incomplete two-variable Hermite polynomials, we propose non-trivial generalizations and we show some applications to the Bessel-type functions as the Humbert functions. We also present a generalization of the Laguerre polynomials in the same context of the incomplete-type and we use these to obtain relevant operational techniques for the Humbert-type functions.

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