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Discrete orthogonal polynomials and difference equations of several variables
Authors:Plamen Iliev  Yuan Xu
Affiliation:a School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA
b Department of Mathematics, University of Oregon, Eugene, OR 97403-1222, USA
Abstract:
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, we give a complete solution of the problem.
Keywords:42C05   33C45
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