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arXiv · 2307.04373

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

S. Z. H. Eweis·Z. S. I. Mansour
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Abstract

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.

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BibTeXRIS

S. Z. H. Eweis, Z. S. I. Mansour. 2023-07-10. A determinant approach for generalized $q$-Bernoulli polynomials and asymptotic results. https://arxiv.org/abs/2307.04373

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