[1]吴瑞溢,黄心中.Salagean类单叶调和函数的特征[J].华侨大学学报(自然科学版),2008,29(2):308-311.[doi:10.11830/ISSN.1000-5013.2008.02.0308]
　WU Rui-yi,HUANG Xin-zhong.The Characteristic of Salagean-Type Univalent Harmonic Functions[J].Journal of Huaqiao University(Natural Science),2008,29(2):308-311.[doi:10.11830/ISSN.1000-5013.2008.02.0308]
点击复制

Salagean类单叶调和函数的特征()
分享到：

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

卷:
第29卷
期数:
2008年第2期
页码:
308-311
栏目:
出版日期:
2008-04-20

文章信息/Info

Title:
The Characteristic of Salagean-Type Univalent Harmonic Functions
文章编号:
1000-5013(2008)02-0308-04
作者:
吴瑞溢; 黄心中
华侨大学数学科学学院; 华侨大学数学科学学院 福建泉州362021; 福建泉州362021
Author(s):
WU Rui-yi;  HUANG Xin-zhong
School of Mathematics Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
拟共形映照;  调和拟共形映照;  单叶调和函数;  凸像
Keywords:
quasiconformal mapping;  harmonic quasiconformal functions;  convex
分类号:
O174.51
DOI:
10.11830/ISSN.1000-5013.2008.02.0308
文献标志码:
A
摘要:
研究由Salagean定义的函数族SH(m,n; α)及其子族-SH(m,n; α),得到SH(m,n; α)类的子族SHK(m,n; α)具有拟共形映照的性质.同时,研究-SH(m,n; α)函数类的凸像性质.对Salagena函数类的偏差定理、拟共形性质及凸像区域性质做进一步的研究,改进Yalcin得到的一些结果.
Abstract:
In this paper,we mainly investigate the classes SH(m,n; α) and S-H(m,n; α) defined by Salagean.It is proved that functions belonging to SHK(m,n; α),which is a subclass of SH(m,n; α),are quasiconformal mappings.Meanwhile,we obtain the convex characteristic of the class S-H(m,n; α).Our results improve some results of Yalcin′s.

参考文献/References:

[1] CLUNIE J, SHELL-SMALL T. Harmonic univalent functions [J]. Annales Academiae Scientiarum Fennicae Series AI Mathematica, 1984(9):3-25.
[2] CHEN H, GAUTHIER P M, HENGARTNER W. Bloch constants for planar harmonic mappings [J]. Proceedings of the American Mathematical Society, 2000, (11):3231-3240.doi:10.1090/S0002-9939-00-05590-8.
[3] PAVLOVIC M. Boundary correspondence under harmonic quasiconformal homeomorphisms of the unit disk [J]. Annales Academiae Scientiarum Fennicae Series AI Mathematica, 2002, (27):365-372.
[4] KALAJ D, PAVLOVIC M. Boundary correspondence under quasiconformal harmonic diffeomorphisms of a half-plane [J]. Annales Academiae Scientiarum Fennicae Series AI Mathematica, 2005, (30):159-165.
[5] SALAGEAN G S. Subclass of univalent functions [M]. New York:springer-verlag, 1983.362-372.
[6] YALCIN S. A new class of Salagean-type harmonic univalent functions [J]. Applied Mathematics Letters, 2005, (18):191-198.doi:10.1016/j.aml.2004.05.003.
[7] JAHANGIRI J, SILVERMAN H. Harmonic close-to-convex mappings [J]. Journal of Applied Mathematics and Stochastic Analysis, 2002(1):23-28.

相似文献/References:

[1]赖万才.拟共形映照的模数偏差[J].华侨大学学报(自然科学版),1985,6(2):141.[doi:10.11830/ISSN.1000-5013.1985.02.0141]
　Lai Wancai.On the Distortion of Modulus of Quasiconformal Mappings[J].Journal of Huaqiao University(Natural Science),1985,6(2):141.[doi:10.11830/ISSN.1000-5013.1985.02.0141]
[2]赖万才.拟共形映照的一个极值问题[J].华侨大学学报(自然科学版),1989,10(4):359.[doi:10.11830/ISSN.1000-5013.1989.04.0359]
　Lai Wancai.An Extremal Problem for Quasiconformal Mappings[J].Journal of Huaqiao University(Natural Science),1989,10(2):359.[doi:10.11830/ISSN.1000-5013.1989.04.0359]
[3]黄心中.参数表示下的拟共形映照[J].华侨大学学报(自然科学版),1997,18(2):111.[doi:10.11830/ISSN.1000-5013.1997.02.0111]
　Huang Xinzhong.Quasiconformal Mappings with Parametric Representation[J].Journal of Huaqiao University(Natural Science),1997,18(2):111.[doi:10.11830/ISSN.1000-5013.1997.02.0111]
[4]黄心中.分段与整体拟对称函数之间的关系[J].华侨大学学报(自然科学版),1999,20(1):1.[doi:10.11830/ISSN.1000-5013.1999.01.0001]
　Huang Xinzhong.Relation between Piecewise and Global Quasi Symmetric Functions[J].Journal of Huaqiao University(Natural Science),1999,20(2):1.[doi:10.11830/ISSN.1000-5013.1999.01.0001]
[5]刘金雄.Reich的一个定理改进及其相关问题[J].华侨大学学报(自然科学版),2000,21(1):8.[doi:10.3969/j.issn.1000-5013.2000.01.002]
　Liu Jinxiong.Improving One of Reich’s Theorems and Problem Correlated with It[J].Journal of Huaqiao University(Natural Science),2000,21(2):8.[doi:10.3969/j.issn.1000-5013.2000.01.002]
[6]刘金雄.一类唯一极值Teichmǖller映照的判别法[J].华侨大学学报(自然科学版),2000,21(4):331.[doi:10.3969/j.issn.1000-5013.2000.04.001]
　Liu Jinxiong.Criterion for a Class of Uniquely Extremal Teichmüller Mappings[J].Journal of Huaqiao University(Natural Science),2000,21(2):331.[doi:10.3969/j.issn.1000-5013.2000.04.001]
[7]刘金雄.一类唯一极值Teichmller映照的存在性[J].华侨大学学报(自然科学版),2001,22(1):6.[doi:10.3969/j.issn.1000-5013.2001.01.002]
　Liu Jinxiong.Existence of a Class of Uniquely Extremal Teichmller Mappings[J].Journal of Huaqiao University(Natural Science),2001,22(2):6.[doi:10.3969/j.issn.1000-5013.2001.01.002]
[8]陈行堤,黄心中.拟共形映照的爆破集问题[J].华侨大学学报(自然科学版),2001,22(2):111.[doi:10.3969/j.issn.1000-5013.2001.02.001]
　Chen Xingdi,Huang Xinzhong.Explodable Set of Quasiconformal Mapping[J].Journal of Huaqiao University(Natural Science),2001,22(2):111.[doi:10.3969/j.issn.1000-5013.2001.02.001]
[9]林峰.Beurling-Ahlfors扩张的伸张函数的边界极限[J].华侨大学学报(自然科学版),2004,25(4):352.[doi:10.3969/j.issn.1000-5013.2004.04.004]
　Lin Feng.Boundary Limit of Dilatation Function of Beurling-Ahlfors Extension[J].Journal of Huaqiao University(Natural Science),2004,25(2):352.[doi:10.3969/j.issn.1000-5013.2004.04.004]
[10]朱剑锋,黄心中.区间上拟对称函数的延拓定理[J].华侨大学学报(自然科学版),2007,28(1):83.[doi:10.3969/j.issn.1000-5013.2007.01.022]
　ZHU Jian-feng,HUANG Xin-zhong.The Extension Theorem of Quasisymmetric Function on the Interval[J].Journal of Huaqiao University(Natural Science),2007,28(2):83.[doi:10.3969/j.issn.1000-5013.2007.01.022]
[11]韩雪,黄心中.拟共形映照的双曲面积偏差[J].华侨大学学报(自然科学版),2007,28(4):433.[doi:10.3969/j.issn.1000-5013.2007.04.026]
　HAN Xue,HUANG Xin-zhong.Hyperbolic Area Distortion under Quasiconformal Mappings[J].Journal of Huaqiao University(Natural Science),2007,28(2):433.[doi:10.3969/j.issn.1000-5013.2007.04.026]

备注/Memo

备注/Memo:
福建省自然科学基金资助项目(Z0511025)
更新日期/Last Update: 2014-03-23