| 非平凡双向单叶调和映照的微分方程 |
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| 引用本文： | 胡春英,黄心中.非平凡双向单叶调和映照的微分方程[J].华侨大学学报(自然科学版),2012(1):107-111. |
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| 作者姓名： | 胡春英 黄心中 |
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| 作者单位： | 华侨大学数学科学学院 |
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| 基金项目： | 福建省自然科学基金资助项目(2008J0195);华侨大学科研基金资助项目(11HZR17) |
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| 摘 要： | 给出定义在单连通区域上的保向单叶调和映照f=h+g珚是非平凡双向单叶调和映照的充要条件,即f(z)为非平凡双向单叶调和映照的充要条件是g′(z)≠0,z∈D,且满足h(z),g(z)的两个微分方程.此外,应用相关结果得到单位圆上的非平凡双向单叶调和映照的系数和面积偏差.
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| 关 键 词： | 单叶调和函数 微分方程 双向单叶调和函数 系数估计 面积偏差 |
On Differential Equations for Non-Trivial Bilateral Univalent Harmonic Mappings |
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| HU Chun-ying,HUANG Xin-zhong.On Differential Equations for Non-Trivial Bilateral Univalent Harmonic Mappings[J].Journal of Huaqiao University(Natural Science),2012(1):107-111. |
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| Authors: | HU Chun-ying HUANG Xin-zhong |
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| Institution: | (School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China) |
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| Abstract: | In this paper,we obtained a necessary and sufficient conditions that a sense preserving and univalent harmonic mapping in a simply connected domain is a non-trivial bilateral univalent harmonic mapping.We also obtain some estimates of coefficients and area distortion bound for non-trivial bilateral univalent harmonic mappings in a unit disk. |
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| Keywords: | univalent harmonic mappings differential equation bilateral univalent harmonic mappings coefficient estimate area distortion |
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