Erdős-Turán type theorems on quasiconformal curves and arcs
type: Item
instance of: scholarly article
title: Erdős-Turán type theorems on quasiconformal curves and arcs
zbMATH Open document ID: 0918.30006
author: H.-P. Blatt
author: V. V. Andrievskii
published in: Journal of Approximation Theory
publication date: 1999-05-26T00:00:00Z
review text: The paper deals with the distribution of zeros of a monic polynomial whose sup-norm is given on a quasiconformal Jordan curve \(\Gamma\) or arc. It generalizes previous results by \textit{H.-P. Blatt} and \textit{R. Grothmann} [Constructive Approximation 7, 19-47 (1991; Zbl 0764.30003)] who assumed \(\Gamma\) to be smooth. Applications are given to the distribution of zeros of orthogonal polynomials, and of the Bieberbach polynomials and their derivatives.
reviewed by: Dieter Gaier
Mathematics Subject Classification ID: 30C15
zbMATH DE Number: 1278848
zbMATH Keywords: zeros of polynomials
zbMATH Keywords: Bieberbach polynomials
MaRDI profile type: Publication
full work available at URL: jath.1997.3268
OpenAlex ID: W1990114858
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DOI: 10.1006/JATH.1997.3268
description: scientific article; zbMATH DE number 1278848