A semiclassical perspective on multivariate orthogonal polynomials

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 and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, 18071 Granada, Spain;Departamento de Matemática Aplicada and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, 18071 Granada, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

Citing 5
Cited 1

Topics in matrix analysis

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Abstract

Differential properties for orthogonal polynomials in several variables are studied. We consider multivariate orthogonal polynomials whose gradients satisfy some quasi-orthogonality conditions. We obtain several characterizations for these polynomials including the analogues of the semiclassical Pearson differential equation, the structure relation and a differential-difference equation.