On differential properties for bivariate orthogonal polynomials |
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| Authors: | María Álvarez de Morales Lidia Fernández Teresa E Pérez Miguel A Piñar |
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| Institution: | (1) Departamento de Matemática Aplicada, Universidad de Granada, Granada, Spain;(2) Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Granada, Spain |
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| Abstract: | In this paper, we consider bivariate orthogonal polynomials associated with a quasi-definite moment functional which satisfies
a Pearson-type partial differential equation. For these polynomials differential properties are obtained. In particular, we
deduce some structure and orthogonality relations for the successive partial derivatives of the polynomials.
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| Keywords: | Bivariate orthogonal polynomials Classical orthogonal polynomials Sobolev bilinear forms |
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