Orthogonal polynomials with asymptotically periodic recurrent coefficients
type: Item
instance of: scholarly article
title: Orthogonal polynomials with asymptotically periodic recurrent coefficients
zbMATH Open document ID: 0604.42023
DOI: 10.1016/0021-9045(86)90065-1
author: Walter Van Assche
author: Jeffrey S. Geronimo
published in: Journal of Approximation Theory
publication date: 1986-01-01T00:00:00Z
review text: The authors take up the case of those class of orthogonal polynomials whose coefficients are asymptotically periodic (see, for example, \textit{T. J. Stieltjes} [Ann. Fac. Sci. Toulouse 8J, 1-122 (1894), and 9A, 1-47 (1895)]). The measure associated with the three-term recurrence formula satisfies by these polynomials is constructed. They also discuss the asymptotic behavior of such polynomials.
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 3975572
zbMATH Keywords: asymptotically periodic coefficients
zbMATH Keywords: scattering theory
zbMATH Keywords: three-term recurrence formula
reviewed by: Ajendra Nath Srivastava
MaRDI profile type: Publication
full work available at URL: 0021-9045(86)90065-1
OpenAlex ID: W2080376397
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description: scientific article; zbMATH DE number 3975572