Polynomials with prescribed zeros on an analytic curve

被引：6

作者：

Andrievskii, V. V. ^{[1
]}

Blatt, H-P ^{[2
]}

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[2] Katholische Univ Eichstatt Ingolstadt, D-85072 Eichstatt, Germany

来源：

ACTA MATHEMATICA HUNGARICA | 2010年 / 128卷 / 03期

关键词：

polynomial; zeros of a polynomial; analytic curve;

D O I：

10.1007/s10474-010-9182-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently Totik and VarjA(0) [17] presented an estimate of the uniform norm of a monic polynomial with prescribed zeros on the unit circle. In this paper we improve their estimate and extend it to the case of polynomials with some zeros on an arbitrary analytic curve in the complex plane.

引用

页码：221 / 238

页数：18

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[2]

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[3]

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