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Discrete orthogonal polynomials and difference equations of several variables

Plamen Iliev, Yuan Xu

Published 2005-08-01, updated 2007-04-12Version 3

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.

Comments: minor typos corrected
Journal: Adv. Math. 212 (2007), no. 1, 1-36
Categories: math.CA
Subjects: 42C05, 33C45
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