journal article
oaidoi:10.1016/j.cam.2007.03.005

A semiclassical perspective on multivariate orthogonal polynomials

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Publication date
1 May 2008
Publisher
Elsevier B.V.
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    Abstract

    AbstractDifferential 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

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