Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2002-04-01

Journal: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Included Journals: SCIE、Scopus

Volume: 268

Issue: 1

Page Number: 171-183

ISSN: 0022-247X

Key Words: orthogonal polynomials of two variables; invariant factor; Stieltjies type theorems

Abstract: 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).