A matrix Rodrigues formula for classical orthogonal polynomials in two variables

Details A matrix Rodrigues formula for classical orthogonal polynomials in two variables A matrix Rodrigues formula for classical orthogonal polynomials in two variables

2006-10-03

arxiv.org/abs/math/0610128v1

Mathematics

Classical Analysis and ODEs

17 pages

Scientific paper

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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