Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642702 | Journal of Computational and Applied Mathematics | 2007 | 8 Pages |
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
María Álvarez de Morales, Lidia Fernández, Teresa E. Pérez, Miguel A. Piñar,