| 某类调和函数的单叶半径和Landau定理 |
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| 引用本文： | 黄心中,黄赟.某类调和函数的单叶半径和Landau定理[J].华侨大学学报(自然科学版),2016,0(1):120-124. |
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| 作者姓名： | 黄心中 黄赟 |
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| 作者单位： | 华侨大学 数学科学学院, 福建 泉州 362021 |
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| 摘 要： | 研究单位圆盘D上解析部分h(z)满足Re({1+z(h″(z))/(h’(z))}>c(-1/2n及|w(z)|<1的情况,分别给出f(z)的稳定近于凸半径和单叶半径估计.并在同时满足其他条件的情况下,给出单叶区域在调和函数作用下值域最大覆盖圆半径的估计,推广了Chen等的结果.
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| 关 键 词： | 调和函数 稳定近于凸 单叶半径 Landau定理 |
On the Univalent Radius and Landau Theorem for Some Harmonic Mappings |
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| HUANG Xinzhong,HUANG Yun.On the Univalent Radius and Landau Theorem for Some Harmonic Mappings[J].Journal of Huaqiao University(Natural Science),2016,0(1):120-124. |
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| Authors: | HUANG Xinzhong HUANG Yun |
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| Institution: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | To the harmonic mappings f(z)=h(z)+g(z)^- with their analytic parts h(z)have the property of Re({1+z(h″(z))/(h’(z))}>c(-1/2n or |w(z)|<1, the stable close-to-convex radius and the univalent radius estimates are obtained respectively. Moreover, we also consider Landau theorem for harmonic functions with some other conditions, our results improve the one made by Chen. |
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| Keywords: | harmonic mapping stable close-to-convex univalent radius Landau theorem |
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