Bivariate orthogonal polynomials in the Lyskova class

Authors:
María Álvarez de Morales;Lidia Fernández;Teresa E. Pérez;Miguel A. Piñar
Affiliations:
Departamento de Matemática Aplicada, and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Granada, Spain;Departamento de Matemática Aplicada, and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Granada, Spain;Departamento de Matemática Aplicada, and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Granada, Spain;Departamento de Matemática Aplicada, and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Granada, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 3
Cited 0

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Abstract

Classical orthogonal polynomials in two variables can be characterized as the polynomial solutions of a matrix second-order partial differential equation involving matrix polynomial coefficients. In this work, we study classical orthogonal polynomials in two variables whose partial derivatives satisfy again a second-order partial differential equation of the same type.