A matrix Rodrigues formula for classical orthogonal polynomials in two variables
Classical Analysis and ODEs
2007-05-23 v1
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.
Cite
@article{arxiv.math/0610128,
title = {A matrix Rodrigues formula for classical orthogonal polynomials in two variables},
author = {A. Alvarez de Morales and L. Fernández and T. E. Pérez and M. A. Piñar},
journal= {arXiv preprint arXiv:math/0610128},
year = {2007}
}
Comments
17 pages