Title

Remarks On Orthogonal Polynomials With Respect To Varying Measures And Related Problems

Keywords

Orthogonal polynomial and rational; weak-star convergence

Abstract

We point out the relation between the orthogonal polynomials with respect to (w.r.t.) varying measures and the so-called orthogonal rationals on the unit circle in the complex plane. This observation enables us to combine different techniques in the study of these polynomials and rationals. As an example, we present a simple and short proof for a known result on the weak-star convergence of orthogonal polynomials w.r.t. varying measures. Some related problems are also considered. © 1993, Hindawi Publishing Corporation. All rights reserved.

Publication Date

1-1-1993

Publication Title

International Journal of Mathematics and Mathematical Sciences

Volume

16

Issue

2

Number of Pages

255-258

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1155/S0161171293000298

Socpus ID

84935456688 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84935456688

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