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A matrix Rodrigues formula for classical orthogonal polynomials in two variables

A. Alvarez de Morales·L. Fernández·T. E. Pérez·M. A. Piñar
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Abstract

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.

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A. Alvarez de Morales, L. Fernández, T. E. Pérez, M. A. Piñar. 2006-10-03. A matrix Rodrigues formula for classical orthogonal polynomials in two variables. https://arxiv.org/abs/math/0610128

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