Ladder operators for \(q\)-orthogonal polynomials
type: Item
instance of: scholarly article
title: Ladder operators for \(q\)-orthogonal polynomials
zbMATH Open document ID: 1154.33010
author: Yang Chen
author: Mourad E. H. Ismail
published in: Journal of Mathematical Analysis and Applications
publication date: 2008-06-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/0711.2454
review text: The authors construct the \(q\)-difference analog of the ladder operators for orthogonal polynomials related to a class of indeterminate moment problem. A general theorem is proved giving auxiliary relations to define the so-called lowering and rasing operators for polynomials which are orthogonal with respect to absolutely continuous measures. In particular, the Stieltjes-Wigert and \(q\)-Laguerre polynomials are investigated.
Mathematics Subject Classification ID: 33D52
Mathematics Subject Classification ID: 44A60
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 39A13
zbMATH DE Number: 5292282
zbMATH Keywords: difference equations
zbMATH Keywords: orthogonal polynomials and their \(q\)-analogues
zbMATH Keywords: moment problems
reviewed by: S. Yakubovich
MaRDI profile type: Publication
OpenAlex ID: W2143446835
arXiv ID: 0711.2454
cites work: Q5508534
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DOI: 10.1016/J.JMAA.2008.03.031
description: scientific article