A semiclassical perspective on multivariate orthogonal polynomials

Details A semiclassical perspective on multivariate orthogonal polynomials A semiclassical perspective on multivariate orthogonal polynomials

2006-10-04

arxiv.org/abs/math/0610153v1

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

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 analogous of the semiclassical Pearson differential equation, the structure relation and a differential--difference equation.

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