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On differential properties for bivariate orthogonal polynomials

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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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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Universidad de Granada, Granada, Spain

    María Álvarez de Morales, Lidia Fernández, Teresa E. Pérez & Miguel A. Piñar

  2. Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Granada, Spain

    Teresa E. Pérez & Miguel A. Piñar

Authors
  1. María Álvarez de Morales
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  2. Lidia Fernández
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  3. Teresa E. Pérez
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  4. Miguel A. Piñar
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Correspondence to Miguel A. Piñar.

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Álvarez de Morales, M., Fernández, L., Pérez, T.E. et al. On differential properties for bivariate orthogonal polynomials. Numer Algor 45, 153–166 (2007). https://doi.org/10.1007/s11075-007-9113-3

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  • DOI: https://doi.org/10.1007/s11075-007-9113-3

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