与星象函数有关的拟共形近于凸调和映射

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与星象函数有关的拟共形近于凸调和映射王智刚¹, 黄心中², 刘志宏³, Rahim KARGAR⁴1 湖南第一师范学院数学与计算科学学院长沙 410205;
2 华侨大学数学科学学院泉州 362021;
3 桂林理工大学理学院桂林 541004;
4 Department of Mathematics and Statistics, University of Turku, 20014 Turku, Finland On Quasiconformal Close-to-Convex Harmonic Mappings Involving Starlike Functions Zhi Gang WANG¹, Xin Zhong HUANG², Zhi Hong LIU³, Rahim KARGAR⁴1 School of Mathematics and Computing Science, Hunan First Normal University, Changsha 410205, P. R. China;
2 School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, P. R. China;
3 College of Science, Guilin University of Technology, Guilin 541004, P. R. China;
4 Department of Mathematics and Statistics, University of Turku, 20014 Turku, Finland

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摘要讨论了一类解析部分为星象函数的拟共形近于凸调和映射的基本性质，得到了此类映射的系数不等式、积分表达式、增长定理、面积定理与部分和的近于凸半径.

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收稿日期: 2019-06-21

MR (2010):

O174.5

基金资助:国家自然科学基金资助项目（11961013）；湖南省教育厅重点项目（19A097）

作者简介: 王智刚,E-mail:wangmath@163.com;黄心中,E-mail:huangxz@hqu.edu.cn;刘志宏,E-mail:liuzhihongmath@163.com;Rahim KARGAR4,E-mail:rakarg@utu.fi

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王智刚, 黄心中, 刘志宏, Rahim KARGAR. 与星象函数有关的拟共形近于凸调和映射[J]. 数学学报, 2020, 63(6): 565-576. Zhi Gang WANG, Xin Zhong HUANG, Zhi Hong LIU, Rahim KARGAR. On Quasiconformal Close-to-Convex Harmonic Mappings Involving Starlike Functions. Acta Mathematica Sinica, Chinese Series, 2020, 63(6): 565-576.

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