Open AccessHumbert 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.