Discrete orthogonal polynomials and difference equations of several variables

• Autores: Plamen Iliev , Yuan Xu
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 212, Nº 1, 2007, págs. 1-36
• Idioma: inglés
• DOI: 10.1016/j.aim.2006.09.012
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• Resumen

  • 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.