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Orthogonal polynomials associated with the deltoid curve

Volume 147 / 2017

Olfa Zribi Colloquium Mathematicum 147 (2017), 1-34 MSC: 17B22, 33C52, 31C35, 35K05, 60J60, 60J45. DOI: 10.4064/cm6564-12-2015 Published online: 14 November 2016

Abstract

We study a family of bivariate orthogonal polynomials associated to the deltoid curve. These polynomials arise when classifying bivariate diffusion operators that have discrete spectral decomposition given by orthogonal polynomials with respect to some compactly supported probability measure on the interior of the deltoid curve.

Authors

  • Olfa ZribiInstitut de Mathématiques de Toulouse
    Université Paul Sabatier
    118, route de Narbonne
    Toulouse, France
    and
    Département de Mathématiques
    Université El Manar, Tunis, Tunesia
    e-mail

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