Integral estimates of lengths of level lines of rational functions and zolotarev's problem

被引：0

作者：

Danchenko, V. I. ^{[1
]}

机构：

[1] Vladimir State Univ, Vladimir, Russia

来源：

MATHEMATICAL NOTES | 2013年 / 94卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

integral estimate; rational function; separation of compact sets;

D O I：

10.1134/S0001434613090022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Integral estimates of lengths of level lines (lemniscates) of rational functions of a complex variable are obtained. These estimates are related to the problem of separation of compact sets by rational functions and to Zolotarev's problem.

引用

页码：314 / 319

页数：6

共 29 条

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[10] WARING'S PROBLEM FOR RATIONAL FUNCTIONS IN ONE VARIABLE
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