期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 214, 期 2, 页码 447-456出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2007.03.005
关键词
orthogonal polynomials in several variables; semiclassical orthogonal polynomials
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. (c) 2007 Elsevier B.V. All rights reserved.
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