paper

A matrix Rodrigues formula for classical orthogonal polynomials in two variables

arXiv:math/0610128

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.

17 pages

A matrix Rodrigues formula for classical orthogonal polynomials in two variables · wovepaper