| 正则区域的对数导数单叶性内径 |
| |
| 引用本文： | 罗贤,杨宗信. 正则区域的对数导数单叶性内径[J]. 江西师范大学学报(自然科学版), 2013, 0(2): 179-182 |
| |
| 作者姓名： | 罗贤 杨宗信 |
| |
| 作者单位： | 江西师范大学数学与信息科学学院,江西南昌,330022 |
| |
| 基金项目： | 国家自然科学基金(11071063,11261022);江西省教育厅科研课题(GJJ12175)资助项目 |
| |
| 摘 要： | 研究了单位圆到正则区域的共形映射的对数导数,讨论了对数导数范数的一些性质,得到了带凸角的正则区域在对数导数意义下的单叶性内径的一个下界估计,并推导出椭圆内部区域的对数导数意义下的单叶性内径为1.
|
| 关 键 词： | 正则区域 对数导数 单叶性内径 |
The Inner Radius of Univalence by Pre-Schwarzian Derivative of Regulated Domain |
| |
| LUO Xian,YANG Zong-xin. The Inner Radius of Univalence by Pre-Schwarzian Derivative of Regulated Domain[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2013, 0(2): 179-182 |
| |
| Authors: | LUO Xian YANG Zong-xin |
| |
| Affiliation: | (College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China) |
| |
| Abstract: | Making use of integral representation of a conformal map from the unit disk onto a regulated domain,the pre-Schwarzian derivative of the conformal map is discussed.A new estimation of lower bound of the inner radius of univalence by pre-Schwarzian derivative of a regulated domain with convex corners is obtained. |
| |
| Keywords: | regulated domain pre-Schwarzian derivative the inner radius of univalence |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《江西师范大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《江西师范大学学报(自然科学版)》下载全文 |
