调和映照的星象半径  

Starlike Radius of Harmonic Mapping

作　　者：谢志春 史小伊 李东征 XIE Zhi-chun;SHI Xiao-yi;LI Dong-zheng(Data Science and Intelligent Engineering School,Xiamen Institute of Technology,Xiamen 361021,China;Public Teaching Department,Xiamen Medical College,Xiamen 361023,China)

机构地区：[1]厦门工学院数据科学与智能工程学院,福建厦门361021 [2]厦门医学院公共课教学部,福建厦门361023

出　　处：《数学的实践与认识》2022年第4期215-224,共10页Mathematics in Practice and Theory

基　　金：福建省中青年教师教育科研项目(JAT200839);厦门工学院科研创新团队项目(KYTD202005);厦门工学院科研项目(KYT2020008)。

摘　　要：基于对单叶调和函数系数估计的猜想,对定义在单位圆盘上的调和映照类的星象半径进行研究.首先研究系数在满足一定条件下的调和映照类的星象半径,得到其精确的估计,其次研究两类调和函数的卷积的星象半径,所得到的结论也是精确的.In this paper,based on the conjecture about the estimation of coefficients of univalent harmonic functions,the star radius of harmonic mappings defined on the unit disk is studied.Firstly,we study the star radius of harmonic mapping class with coefficients satisfying certain conditions and the accurate estimation is obtained.Secondly,the star radius of convolution of two kinds of harmonic functions is studied,the conclusion is also accurate.

关 键 词：调和映照 星象半径 卷积 

分 类 号：O174.5[理学—数学]