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arxiv: math/0610128 · v1 · submitted 2006-10-03 · 🧮 math.CA

A matrix Rodrigues formula for classical orthogonal polynomials in two variables

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keywords orthogonalpolynomialsclassicalformularodriguesmatrixvariablescharacterized
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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.

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