A determinant approach for generalized $q$-Bernoulli polynomials and asymptotic results

Autor:	Eweis, S. Z. H., Mansour, Z. S. I.
Rok vydání:	2023
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	In earlier work, we introduced three families of polynomials where the generating function of each set includes one of the three Jackson $q$-analogs of the Bessel function. This paper gives determinant representation for each family, their large $n $ asymptotics, and two expansion theorems for specific classes of entire functions. We include two examples.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.04373 Zobrazit plný text záznamu View this record from Arxiv