| On the inner radius of univalency by pre-Schwarzian derivative |
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| 作者姓名： | Tao CHENG~ |
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| 作者单位： | 1，2 |
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| 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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| 收稿时间： | 24 October 2006 |
| 修稿时间： | 15 January 2007 |
On the inner radius of univalency by pre-Schwarzian derivative |
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| Tao CHENG.On the inner radius of univalency by pre-Schwarzian derivative[J].Science in China(Mathematics),2007,50(7):987-996. |
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| Authors: | Tao CHENG Ji-xiu CHEN |
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| Institution: | 1. School of Mathematical Sciences, Fudan University, Shanghai 200433, China;Department of Mathematics, Jiangxi Normal University, Nanchang 330022, China
2. School of Mathematical Sciences, Fudan University, Shanghai 200433, China |
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| Abstract: | 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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| Keywords: | pre-Schwarzian derivative inner radius of univalency universal Teichmuller space |
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