[1]占龙俊,黄心中.调和映照与像域为线性连结的剪切函数的关系[J].华侨大学学报(自然科学版),2015,36(5):603-608.[doi:10.11830/ISSN.1000-5013.2015.05.0603]
　ZHAN Long-jun,HUANG Xin-zhong.Relation Between Harmonic Mapping and Its Shear Function With Linearly Connected Image Domain[J].Journal of Huaqiao University(Natural Science),2015,36(5):603-608.[doi:10.11830/ISSN.1000-5013.2015.05.0603]
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调和映照与像域为线性连结的剪切函数的关系()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第36卷
期数:
2015年第5期
页码:
603-608
栏目:
出版日期:
2015-09-20

文章信息/Info

Title:
Relation Between Harmonic Mapping and Its Shear Function With Linearly Connected Image Domain
文章编号:
1000-5013(2015)05-0603-06
作者:
占龙俊;  黄心中
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
ZHAN Long-jun;  HUANG Xin-zhong
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
调和映照;  线性连结;  调和拟共形映照;  α近于凸.
Keywords:
harmonic mapping;  linearly connected domain;  harmonic quasiconformal mapping;  α-close-to convex
分类号:
O174.51;O174.55
DOI:
10.11830/ISSN.1000-5013.2015.05.0603
文献标志码:
A
摘要:
设f(z)=h(z)+g(z)^-为单位圆盘D={z||z|<1}上的局部单叶调和函数,若剪切函数h(z)-g(z)在D上单叶且像域具有M线性连结,研究当伸缩商|ω(z)|=|(g’(z))/(h’(z))|在一定条件下,h(z),Fλ(z)=h(z)+λ×g(z)^- 等函数的单叶性及线性连结性问题,改进推广了陈少林的相应结果.
Abstract:
Suppose that f(z)=h(z)+g(z)^- is a locally univalent harmonic mapping on the unit disk D={z||z|<1}, if its shear function h(z)-g(z)is univalent with linearly connected image domain, we consider the univalence and the image properties of h(z), Fλ(z)=h(z)+λg(z)^- under some restriction conditions of the dilatation of f(z). Our results improve and generalize some results made in CHEN Shao-lin.

参考文献/References:

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[7] HUANG Xin-zhong.Harmonic quasiconformal mappings on the upper half-plane[J].Complex Variables and Elliptic Equations,2013,58(7):1005-1011.
[8] 夏小青,黄心中.一类双调和映照的单叶半径估计[J].华侨大学学报:自然科学版,2011,32(2):218-221.
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备注/Memo

备注/Memo:
收稿日期: 2015-01-05
通信作者: 黄心中(1957-),男,教授,博士,主要从事函数论的研究.E-mail:huangxz@hqu.edu.cn.
基金项目: 国家自然科学基金资助项目(11471128); 福建省自然科学基金资助项目(2014J01013)
更新日期/Last Update: 2015-09-20