内半径积的上估计值在单值函数变形定理中的应用

Q3 Mathematics
I. Denega, Yaroslav V. Zabolotnyi
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引用次数: 0

摘要

1934 年,拉夫连季耶夫解决了两个不重叠的简单相连域的共形半径的最大积问题。在三个或更多点的情况下,许多学者考虑了形式为$$T_{n}的更一般莫比乌斯不变量的估计值:={\prod\limits_{k=1}^nr(B_{k},a_{k})}{\bigg(\prod\limits_{1\leqslant k本文章由计算机程序翻译,如有差异,请以英文原文为准。
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Application of upper estimates for products of inner radii to distortion theorems for univalent functions
In 1934 Lavrentiev solved the problem of maximum ofproduct of conformal radii of two non-overlapping simply connected domains. In the case of three or more points, many authors considered estimates of a more general Mobius invariant of the form$$T_{n}:={\prod\limits_{k=1}^nr(B_{k},a_{k})}{\bigg(\prod\limits_{1\leqslant k
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来源期刊
Matematychni Studii
Matematychni Studii Mathematics-Mathematics (all)
CiteScore
1.00
自引率
0.00%
发文量
38
期刊介绍: Journal is devoted to research in all fields of mathematics.
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