[1]潘旭玲,黄心中.一类新的Salagean-Type单叶调和映照的特征[J].华侨大学学报(自然科学版),2013,34(4):466-470.[doi:10.11830/ISSN.1000-5013.2013.04.0466]
　PAN Xu-ling,HUANG Xin-zhong.On the Property of a New Class of Salagean-Type Univalent Harmonic Mappings[J].Journal of Huaqiao University(Natural Science),2013,34(4):466-470.[doi:10.11830/ISSN.1000-5013.2013.04.0466]
点击复制

一类新的Salagean-Type单叶调和映照的特征()
分享到：

《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第34卷
期数:
2013年第4期
页码:
466-470
栏目:
出版日期:
2013-07-20

文章信息/Info

Title:
On the Property of a New Class of Salagean-Type Univalent Harmonic Mappings
文章编号:
1000-5013(2013)04-0466-05
作者:
潘旭玲;  黄心中
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
PAN Xu-ling;  HUANG Xin-zhong
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
单叶调和映照;  拟共形映照;  凸像;  稳定性;  δ-邻域
Keywords:
univalent harmonic mapping;  quasiconformal mapping;  convex;  stability;  δ-neighborhood
分类号:
O174.51;O174.55
DOI:
10.11830/ISSN.1000-5013.2013.04.0466
文献标志码:
A
摘要:
研究由Salagean定义的微分算子的一类新的Salagean-type函数类SH(m,n,α,β)的子类SHK(m,n,α,β), 得到SHK(m,n,α,β)为调和拟共形映照及凸像函数的充分条件,研究SHK(m,n,α,β)的稳定性与调和映照δ-邻域的相关问题,推广了B.Seker等人的相应结果.
Abstract:
We study the subclass SHK(m,n,α,β)of SH(m,n,α,β)which is a new Salagean-type class with a differential operator defined by Salagean. One sufficient condition for functions in the subclass SHK(m,n,α,β)to be harmonic quasiconformal mappings and convex harmonic mappings is obtained. Meanwhile, the stability property and the δ-neighborhood of harmonic mappings for the subclass SHK(m,n,α,β)are considered. Our results improve and generalize the one made by B.Seker.

参考文献/References:

[1] CLUNIE J,SHELL-SMALL T.Harmonic univalent functions[J].Ann Acad Sci Fenn Ser A I Math,1984,9:3-26.
[2] PAVLOVIC M.Boundary correspondence under harmonic quasiconformal homeomorphisms of the uint disk[J].Ann Acad Sci Fenn Math,2002,27:365-372.
[3] KALAJ D.Quasiconformal harmonic functions between convex domains[J].Publications De L’Institut Mathematique,2004,76(90):3-20.
[4] HUANG Xin-zhong.Harmonic quasiconformal mappings on the upper half-plane[J].Complex Variables and Elliptic Equations: An International Journal,2011:1-7.
[5] 黄心中.单位圆上的调和拟共形同胚[J].数学年刊,2008,29A(4):519-524.
[6] SEKER B.Salagean-type harmonic univalent functions[J].International Journal of the Physial Sciences,2011,6(4):801-807.
[7] 黄心中.具有线性连结像域的局部单叶调和函数[J].数学年刊,2010,31A(5):625-630.
[8] CHEN S H,PONNUSAMY S,WANG X.Properties of some classes of planar harmonic and planar biharmonic mappings[J].Complex Anal Oper Theory,2011,5(3):901-916.
[9] 谢志春,黄心中.某些单叶调和函数类的解析特征[J]. 华侨大学学报:自然科学版,2011,30(6):704-708.
[10] JAHANGIRI J,SILVERMAN H.Harmonic close-to-convex mappings[J].J Appl Math and Stoch Anal,2002,15(1):23-28.

相似文献/References:

[1]刘增荣.Reich 的一个定理的改进[J].华侨大学学报(自然科学版),1989,10(1):1.[doi:10.11830/ISSN.1000-5013.1989.01.0001]
　Liu Zengrong.Improvement of a Theorem by Reich[J].Journal of Huaqiao University(Natural Science),1989,10(4):1.[doi:10.11830/ISSN.1000-5013.1989.01.0001]
[2]王朝祥,黄心中.分段拟对称为整体拟对称函数的偏差估计[J].华侨大学学报(自然科学版),2003,24(4):345.[doi:10.3969/j.issn.1000-5013.2003.04.002]
　Wang Chaoxiang,Huang Xinzhong.Estimate the Distortion for a Piecewise Quasi-Symmetric Function to be Turned into a Global One[J].Journal of Huaqiao University(Natural Science),2003,24(4):345.[doi:10.3969/j.issn.1000-5013.2003.04.002]
[3]王朝祥,黄心中.闭区间上Zygmund函数的延拓定理[J].华侨大学学报(自然科学版),2006,27(2):119.[doi:10.3969/j.issn.1000-5013.2006.02.002]
　Wang Chaoxiang,Huang Xinzhong.On the Extension Theorem for Zygmund Functions in Closed Interval[J].Journal of Huaqiao University(Natural Science),2006,27(4):119.[doi:10.3969/j.issn.1000-5013.2006.02.002]
[4]黄心中.给定复伸张单叶调和映照的面积偏差[J].华侨大学学报(自然科学版),2007,28(2):208.[doi:10.3969/j.issn.1000-5013.2007.02.025]
　HUANG Xin-zhong.Area Distortion for Univalent Harmonic Mappings with Given Dilatation[J].Journal of Huaqiao University(Natural Science),2007,28(4):208.[doi:10.3969/j.issn.1000-5013.2007.02.025]
[5]林珍连.关于“Beurling-Ahlfors扩张的推广”一文的一点注[J].华侨大学学报(自然科学版),2007,28(3):335.[doi:10.3969/j.issn.1000-5013.2007.03.029]
　LIN Zhen-lian.A Note on the Paper of the Generalization of Beurling-Ahlfors′ Extension[J].Journal of Huaqiao University(Natural Science),2007,28(4):335.[doi:10.3969/j.issn.1000-5013.2007.03.029]
[6]谢志春,黄心中.某些单叶调和函数类的解析特征[J].华侨大学学报(自然科学版),2009,30(6):704.[doi:10.11830/ISSN.1000-5013.2009.06.0704]
　XIE Zhi-chun,HUANG Xin-zhong.On the Analytic Characteristic Properties for Some Univalent Harmonic Functions[J].Journal of Huaqiao University(Natural Science),2009,30(4):704.[doi:10.11830/ISSN.1000-5013.2009.06.0704]
[7]陈行堤.调和拟共形映照双曲雅可比的偏差性质[J].华侨大学学报(自然科学版),2010,31(3):351.[doi:10.11830/ISSN.1000-5013.2010.03.0351]
　CHEN Xing-di.Distortion Estimations of the Hyperbolic Jacobians of Harmonic Quasiconformal Mappings[J].Journal of Huaqiao University(Natural Science),2010,31(4):351.[doi:10.11830/ISSN.1000-5013.2010.03.0351]
[8]朱剑峰.单位圆上调和拟共形映照的复特征估计[J].华侨大学学报(自然科学版),2010,31(4):476.[doi:10.11830/ISSN.1000-5013.2010.04.0476]
　ZHU Jian-feng.Estimate for the Dilatation of Harmonic Quasiconformal Mappings in the Unit Disk[J].Journal of Huaqiao University(Natural Science),2010,31(4):476.[doi:10.11830/ISSN.1000-5013.2010.04.0476]
[9]胡春英,黄心中.单叶调和函数及其反函数为调和拟共形的充要条件[J].华侨大学学报(自然科学版),2010,31(5):586.[doi:10.11830/ISSN.1000-5013.2010.05.0586]
　HU Chun-ying,HUANG Xin-zhong.Necessary and Sufficient Condition that Univalent Harmonic Functions and Their Inverse Functions are Harmonic Quasiconformal Mappings[J].Journal of Huaqiao University(Natural Science),2010,31(4):586.[doi:10.11830/ISSN.1000-5013.2010.05.0586]
[10]朱剑峰,黄心中.两类调和函数的拟共形性质[J].华侨大学学报(自然科学版),2011,32(6):705.[doi:10.11830/ISSN.1000-5013.2011.06.0705]
　ZHU Jian-feng,HUANG Xin-zhong.Quasi-Conformality for Two Classes of Harmonic Functions[J].Journal of Huaqiao University(Natural Science),2011,32(4):705.[doi:10.11830/ISSN.1000-5013.2011.06.0705]
[11]潘旭玲,黄心中.一类单位圆盘上单叶调和映照的延拓定理[J].华侨大学学报(自然科学版),2013,34(6):701.[doi:10.11830/ISSN.1000-5013.2013.06.0701]
　PAN Xu-ling,HUANG Xin-zhong.Extension Theorems for Some Univalent Harmonic Mappings on the Unit Disk[J].Journal of Huaqiao University(Natural Science),2013,34(4):701.[doi:10.11830/ISSN.1000-5013.2013.06.0701]

备注/Memo

备注/Memo:
收稿日期: 2012-04-27
通信作者: 黄心中(1957-),男,教授,主要从事函数论的研究.E-mail:huangxz@hqu.edu.cn.
基金项目: 福建省自然科学基金资助项目(2011J0101)
更新日期/Last Update: 2013-07-20