On the inner radius of univalency by pre-Schwarzian derivative

被引：4
|
作者：
Cheng, Tao [1 ]
Chen, Ji-xiu
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2007年 / 50卷 / 07期
基金：
中国国家自然科学基金;
关键词：
pre-Schwarzian derivative; inner radius of univalency; universal Teichmuller space;
D O I：
10.1007/s11425-007-0049-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the inner radius of univalency of hyperbolic domains by pre-Schwarzian derivative is studied, and some general formulas for the lower bound of the inner radius are established. As their applications, the lower bounds of inner radiuses for angular domains and strongly starlike domains are obtained.
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页码：987 / 996
页数：10
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