| 与星象函数有关的拟共形近于凸调和映射 |
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| 引用本文： | 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, 1936, 63(6): 565-576 |
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| 作者姓名： | 王智刚 黄心中 刘志宏 Rahim KARGAR |
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| 作者单位： | 1.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 |
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| 基金项目： | 国家自然科学基金资助项目（11961013）；湖南省教育厅重点项目（19A097） |
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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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On Quasiconformal Close-to-Convex Harmonic Mappings Involving Starlike Functions |
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| Zhi Gang WANG,Xin Zhong HUANG,Zhi Hong LIU,Rahim KARGAR. On Quasiconformal Close-to-Convex Harmonic Mappings Involving Starlike Functions[J]. Acta Mathematica Sinica, 1936, 63(6): 565-576 |
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| Authors: | Zhi Gang WANG Xin Zhong HUANG Zhi Hong LIU Rahim KARGAR |
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| Affiliation: | 1.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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| Abstract: | In this paper, we discuss several basic properties of a class of quasiconformal close-to-convex harmonic mappings with starlike analytic part, such results as coefficient inequalities, an integral representation, a growth theorem, an area theorem, and radii of close-to-convexity of partial sums of the class, are derived. |
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| Keywords: | analytic function univalent function starlike function close-to-convex harmonic mapping quasiconformal harmonic mapping |
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