Bivariate orthogonal polynomials in the Lyskova class |
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Authors: | María Álvarez de Morales Teresa E Pérez Miguel A Piñar |
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Institution: | Departamento de Matemática Aplicada, and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Granada, Spain |
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Abstract: | 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 work, we study classical orthogonal polynomials in two variables whose partial derivatives satisfy again a second-order partial differential equation of the same type. |
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Keywords: | 42C05 33C50 |
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