Bulletin of the Belgian Mathematical Society - Simon Stevin

On the orthogonal polynomials with weight having singularities on the boundary of regions in the complex plane

F. G. Abdullayev and U. Değer

Source: Bull. Belg. Math. Soc. Simon Stevin Volume 16, Number 2 (2009), 235-250.

Abstract

The order of the weight of orthogonal polynomials is analyzed, when this weight function shows singularities on the boundary of a region in the complex plane.

Primary Subjects: 30A10, 30C10
Secondary Subjects: 41A17
Keywords: Orthogonal polynomials; Weight function; Quasicircle; Conformal mapping; Quasiconformal mapping

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bbms/1244038136
Zentralblatt MATH identifier: 05578796


2009 © The Belgian Mathematic Society

Bulletin of the Belgian Mathematical Society - Simon Stevin

Bulletin of the Belgian Mathematical Society - Simon Stevin