Title

Strong And Weak Convergence Of Rational Functions Orthogonal On The Circle

Authors

Authors

X. Li;K. Pan

Comments

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Abbreviated Journal Title

J. Lond. Math. Soc.-Second Ser.

Keywords

UNIT-CIRCLE; POLYNOMIALS; Mathematics

Abstract

Rational functions orthogonal on the unit circle with prescribed poles lying outside the unit circle are studied. We establish a relation between the orthogonal rational functions and the orthogonal polynomials with respect to varying measures. Using this relation, we extend the recent results of Bultheel, Gonzalez-Vera, Hendriksen and Njastad on the asymptotic behaviour of orthogonal rational functions.

Journal Title

Journal of the London Mathematical Society-Second Series

Volume

53

Publication Date

1-1-1996

Document Type

Article

Language

English

First Page

289

Last Page

301

WOS Identifier

WOS:A1996UH14800006

ISSN

0024-6107

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