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论文类型：期刊论文

发表时间：2002-04-01

发表刊物：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录刊物：Scopus、SCIE

卷号：268

期号：1

页面范围：171-183

ISSN号：0022-247X

关键字：orthogonal polynomials of two variables; invariant factor; Stieltjies type theorems

摘要：In this paper, some important properties of orthogonal polynomials of two variables are investigated. The concepts of invariant factor for orthogonal polynomials of two variables are introduced. The presented results include Stieltjies type theorems for multivariate orthogonal polynomials and the corresponding asymptotic expansion formulas. (C) 2002 Elsevier Science (USA).