Article ID Journal Published Year Pages File Type
4643203 Journal of Computational and Applied Mathematics 2007 9 Pages PDF
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
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