Orthogonal polynomials in two variables as solutions of higher order partial differential equations

Authors:
Lidia Fernández;Teresa E. Pérez;Miguel A. Piñar
Affiliations:
-;-;-
Venue:
Journal of Approximation Theory
Year:
2011

Citing 6
Cited 1

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Abstract

Classical orthogonal polynomials in two variables can be characterized as the polynomial solutions of a second order partial differential equation involving polynomial coefficients. We study orthogonal polynomials in two variables which satisfy higher order partial differential equations. In particular, fourth order partial differential equations as well as some examples are studied.