[1]黄赟,黄心中.某些近于凸调和函数的解析性质和系数估计[J].华侨大学学报(自然科学版),2015,36(4):478-483.[doi:10.11830/ISSN.1000-5013.2015.04.0478]
　HUANG Yun,HUANG Xin-zhong.On the Analytic Properties and Coefficient Estimate for Close-to-Convex Harmonic Mappings[J].Journal of Huaqiao University(Natural Science),2015,36(4):478-483.[doi:10.11830/ISSN.1000-5013.2015.04.0478]
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某些近于凸调和函数的解析性质和系数估计()
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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4期
页码:
478-483
栏目:
出版日期:
2015-07-15

文章信息/Info

Title:
On the Analytic Properties and Coefficient Estimate for Close-to-Convex Harmonic Mappings
文章编号:
1000-5013(2015)04-0478-06
作者:
黄赟;  黄心中
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
HUANG Yun;  HUANG Xin-zhong
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
调和函数;  稳定近于凸;  系数估计;  单叶半径
Keywords:
harmonic mapping;  stable close-to-convex;  coefficient estimate;  univalent radius
分类号:
O174.51
DOI:
10.11830/ISSN.1000-5013.2015.04.0478
文献标志码:
A
摘要:
研究单位圆盘D上某些具有稳定近于凸的调和函数 f(z)=h(z)+g(z)^-解析部分 h(z)满足 Re{1+ z(h″(z))/(h’(z))}>c,-1/2<c≤0时的解析表示和系数估计表达式.对其复伸张w(z)为一次多项式时,给出了f(z)的稳定近于凸的判别条件,并且推广了Bshouty和Nagpal等的结果.特别地,当Re{1+z(h″)/(h’)}>c,-1/2<c≤0,w(z)=z2时,估计了f=h+(-overg)在单位圆盘上的稳定近于凸半径.
Abstract:
Research analytic representing formula and coefficient estimates for h(z)with Re{1+z(h″(z))/(h’(z))}>c, -1/2<c≤0, where h is the analytic part of harmonic mappings f(z)=h(z)+g(z)^- that are stable close-to-convex property on unit disk D. If the dilatation function w(z)is a linear function, the stable close-to-convex criterion is proved. The results improve the one made by Shouty and Nagpal. Moreover, we also obtain the stable close-to-convex radius estimate for f=h+(-overg)with Re{1+z(h″(z))/(h’(z))}>c, -1/2<c≤0 and w(z)=z2 on the unit disk D.

参考文献/References:

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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: 2015-07-20