Article ID Journal Published Year Pages File Type
4642702 Journal of Computational and Applied Mathematics 2007 8 Pages PDF
Abstract

In this work, semiclassical orthogonal polynomials in two variables are defined as the orthogonal polynomials associated with a quasi definite linear functional satisfying a matrix Pearson-type differential equation. Semiclassical functionals are characterized by means of the analogue of the structure relation in one variable. Moreover, non trivial examples of semiclassical orthogonal polynomials in two variables are given.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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