Semiclassical orthogonal polynomials in two variables

Authors:
María Álvarez de Morales;Lidia Fernández;Teresa E. Pérez;Miguel A. Piñar
Affiliations:
Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain;Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain;Departamento de Matemática Aplicada e Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, 18071 Granada, Spain;Departamento de Matemática Aplicada e Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, 18071 Granada, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 5
Cited 2

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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.