[1]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),2012,33(1):107-111.[doi:10.11830/ISSN.1000-5013.2012.01.0107]
　HU Chun-ying,HUANG Xin-zhong.On Differential Equations for Non-Trivial Bilateral Univalent Harmonic Mappings[J].Journal of Huaqiao University(Natural Science),2012,33(1):107-111.[doi:10.11830/ISSN.1000-5013.2012.01.0107]
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非平凡双向单叶调和映照的微分方程()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第33卷
期数:
2012年第1期
页码:
107-111
栏目:
出版日期:
2012-01-20

文章信息/Info

Title:
On Differential Equations for Non-Trivial Bilateral Univalent Harmonic Mappings
文章编号:
1000-5013(2012)01-0107-05
作者:
胡春英; 黄心中
华侨大学数学科学学院
Author(s):
HU Chun-ying;  HUANG Xin-zhong
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
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
Keywords:
univalent harmonic mappings;  differential equation;  bilateral univalent harmonic mappings;  coefficient estimate;  area distortion
分类号:
O174.51
DOI:
10.11830/ISSN.1000-5013.2012.01.0107
文献标志码:
A
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.
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.

参考文献/References:

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备注/Memo

备注/Memo:
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)
更新日期/Last Update: 2014-03-23