A matrix Rodrigues formula for classical orthogonal polynomials in two variables

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Classical orthogonal polynomials in one variable can be characterized as the only orthogonal polynomials satisfying a Rodrigues formula. In this paper, using the second kind Kronecker power of a matrix, a Rodrigues formula is introduced for classical orthogonal polynomials in two variables.
17 pages

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Classical Analysis and ODEs, 42C05 (Primary) 33C50 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/117817

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610128
 http://arxiv.org/abs/math/0610128

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arXiv