On characterizations of classical polynomials
type: Item
instance of: scholarly article
title: On characterizations of classical polynomials
zbMATH Open document ID: 1108.33008
published in: Journal of Computational and Applied Mathematics
publication date: 2006-08-14T00:00:00Z
review text: The author presents a unified study of the classical discrete polynomials and \(q\)-polynomials of the \(q\)-Hahn tableau by using the difference calculus on linear-type lattices. He obtains several characterization theorems for the classical discrete and \(q\)-polynomials of the \(q\)-Hahn tableau. The classical continuous case can be obtained from the \(q\)-case by taking the limit \(q\leftarrow 1^{-}\). He also discusses some problems related to the characterization by \textit{F. Marcellán} et al. [Acta Appl. Math. 34, 283--303 (1994; Zbl 0793.33009)].
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33D45
zbMATH DE Number: 5046100
zbMATH Keywords: classical polynomials
zbMATH Keywords: q-Hahn tableau
zbMATH Keywords: discrete polynomials
author: Renato Álvarez-Nodarse
reviewed by: Youssèf Ben Cheikh
MaRDI profile type: Publication
full work available at URL: j.cam.2005.06.046
OpenAlex ID: W2138242253
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DOI: 10.1016/J.CAM.2005.06.046
description: scientific article