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Bivariate orthogonal polynomials in the Lyskova class - MaRDI portal

Bivariate orthogonal polynomials in the Lyskova class (Q1035601)

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scientific article; zbMATH DE number 5624865
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Bivariate orthogonal polynomials in the Lyskova class
scientific article; zbMATH DE number 5624865

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    Bivariate orthogonal polynomials in the Lyskova class (English)
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    4 November 2009
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    It is a known fact that classical orthogonal polynomials in two variables can be characterized as the polynomial solutions of a matrix second-order partial differential equation involving matrix polynomial coefficients. In this paper, the authors study bivariate orthogonal polynomials whose partial derivatives satisfy again a second-order partial differential equation of the same type.
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    bivariate orthogonal polynomials
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    Lyskova class
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