Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643203 | Journal of Computational and Applied Mathematics | 2007 | 9 Pages |
Abstract
In this work, we introduce the classical orthogonal polynomials in two variables as the solutions of a matrix second order partial differential equation involving matrix polynomial coefficients, the usual gradient operator, and the divergence operator. Here we show that the successive gradients of these polynomials also satisfy a matrix second order partial differential equation closely related to the first one.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lidia Fernández, Teresa E. Pérez, Miguel A. Piñar,