A matrix Rodrigues formula for classical 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, Universidad de Granada, 18071 Granada, Spain and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Granada, Spain;Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Granada, Spain
Venue:
Journal of Approximation Theory
Year:
2009

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Abstract

Classical orthogonal polynomials in one variable can be characterized as the only orthogonal polynomials satisfying a Rodrigues formula. In this paper, using the second kind Kronecker power of a matrix, a Rodrigues formula is introduced for classical orthogonal polynomials in two variables.