与星象函数有关的拟共形近于凸调和映射  

On Quasiconformal Close-to-Convex Harmonic Mappings Involving Starlike Functions

作　　者：王智刚 黄心中[2] 刘志宏 Rahim KARGAR Zhi Gang WANG;Xin Zhong HUANG;Zhi Hong LIU;Rahim KARGAR(School of Mathematics and Computing Science,Hunan First Normal University,Changsha 410205,P.R.China;School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,P.R.China;College of Science,Guilin University of Technology,Guilin 541004,P.R.China;Department of Mathematics and Statistics,University of Turku,20014 Turku,Finland)

机构地区：[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

出　　处：《数学学报（中文版）》2020年第6期565-576,共12页Acta Mathematica Sinica：Chinese Series

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

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.In this paper,we discuss several basic properties of a class of quasicon-formal close-to-convex harmonic mappings with starlike analytic part,such results ascoefficient inequalities,an integral representation,a growth theorem,an area theorem,and radii of close-to-convexity of partial sums of the class,are derived.

关 键 词：解析函数 单叶函数 星象函数 近于凸调和映射 拟共形调和映射 

分 类 号：O174.5[理学—数学]