Discrete orthogonal polynomials and difference equations of several variables
type: Item
instance of: scholarly article
title: Discrete orthogonal polynomials and difference equations of several variables
zbMATH Open document ID: 1133.47027
author: Plamen Iliev
author: Yuan Xu
published in: Advances in Mathematics
publication date: 2007-05-23T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0508039
review text: The goal of this work is to characterize all second order difference operators of several variables that have discrete orthogonal polynomials as eigenfunctions. Under some mild assumptions, a complete solution of this problem is given.
reviewed by: Bilender P. Allahverdiev
Mathematics Subject Classification ID: 47B39
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A20
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 5156379
zbMATH Keywords: discrete orthogonal polynomials
zbMATH Keywords: second order difference equations
MaRDI profile type: Publication
OpenAlex ID: W2031428339
arXiv ID: math/0508039
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DOI: 10.1016/J.AIM.2006.09.012
description: scientific article