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arxiv: math/0508039 · v3 · pith:NIR6W26Nnew · submitted 2005-08-01 · 🧮 math.CA

Discrete orthogonal polynomials and difference equations of several variables

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keywords differencediscreteorthogonalpolynomialsseveralvariablesassumptionscharacterize
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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.

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