A new family of two-variable polynomials based on hermite polynomials

Autor:	Esra Erkuş-Duman, Hakan Ciftci
Rok vydání:	2022
Předmět:	General Mathematics
Zdroj:	Mathematica Slovaca. 72:885-898
ISSN:	1337-2211 0139-9918
DOI:	10.1515/ms-2022-0060
Popis:	The aim of this paper is to introduce a new two-variable polynomials defined via Hermite polynomials. In order to construct some fundamental properties of these polynomials, we first derive a generating function relation. By using definition and this generating relation, we arrive at several recurrence relations, an integral representation, some implicit summation formulae, a symmetry identity for these new two-variable polynomials. Furthermore, we obtain some results which give various classes of multilinear and multilateral generating functions. Then, some special cases are presented. Finally, we also give a general class of these new polynomials and prove explicit closed-form formulae of them.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1e791eb9387efd13da809bbbfb2987da https://doi.org/10.1515/ms-2022-0060 Zobrazit plný text záznamu