Work

Strong and Weak Convergence of Rational Functions Orthogonal on the Circle

Year: 1996

Type: article

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, González-Vera, Hendriksen and Njåstad on the asymptotic behaviour of orthogonal rational functions.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms/53.2.289

Authors: Xin Li, K. Pan

Institutions: University of Central Florida, Barry University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2136704568

FWCI: 2.862

Cites:

Cited by: 8

Related to: 9