A semiclassical perspective on multivariate orthogonal polynomials |
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| Authors: | María Álvarez de Morales Lidia Fernández Teresa E Pérez Miguel A Piñar |
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| Institution: | 1. Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain;2. Departamento de Matemática Aplicada and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, 18071 Granada, Spain |
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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. |
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| Keywords: | 42C05 33C50 |
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