Gottlieb Polynomials and Their q-Extensions

Autor:	Esra ErkuŞ-Duman, Junesang Choi
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Gottlieb polynomials in several variables q-Gottlieb polynomials in several variables generating functions generalized and generalized basic (or -q) hypergeometric function Lauricella’s multiple hypergeometric series in several variables q-binomial theorem Mathematics QA1-939
Zdroj:	Mathematics, Vol 9, Iss 13, p 1499 (2021)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math9131499
Popis:	Since Gottlieb introduced and investigated the so-called Gottlieb polynomials in 1938, which are discrete orthogonal polynomials, many researchers have investigated these polynomials from diverse angles. In this paper, we aimed to investigate the q-extensions of these polynomials to provide certain q-generating functions for three sequences associated with a finite power series whose coefficients are products of the known q-extended multivariable and multiparameter Gottlieb polynomials and another non-vanishing multivariable function. Furthermore, numerous possible particular cases of our main identities are considered. Finally, we return to Khan and Asif’s q-Gottlieb polynomials to highlight certain connections with several other known q-polynomials, and provide its q-integral representation. Furthermore, we conclude this paper by disclosing our future investigation plan.
Databáze:	Directory of Open Access Journals
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