Properties and Characteristics of Certain Subclass of Close-to-Convex Harmonic Mappings  

作　　者：Jiong SHI Zhigang WANG Xiaoyuan WANG 

机构地区：[1]School of Mathematics and Statistics,Changsha University of Science and Technology,Hunan 410114,P.R.China [2]School of Mathematics and Statistics,Hunan First Normal University,Hunan 410205,P.R.China [3]School of Mathematics and Statistics,Nanjing University of Science and Technology,Jiangsu 210094,P.R.China [4]Graduate School of Information Sciences,Tohoku University,Sendai 9808579,Japan

出　　处：《Journal of Mathematical Research with Applications》2024年第5期648-658,共11页数学研究及应用（英文版）

基　　金：Supported by the Natural Science Foundation of Hunan Province(Grant No.2022JJ30185);the Postgraduate Research and Practice Innovation Program of Jiangsu Province(Grant No.KYCX230410);the China Scholarship Council(Grant No.202306840137);the National Natural Science Foundation of China(Grant No.62063029);the Science and Technology Support Project of Pingxiang City(Grant No.2020C0102)。

摘　　要：In this paper,we study a subclass of close-to-convex harmonic mappings whose analytic parts are starlike mappings.We derive some properties and characteristics for this class,such as the bounds of Toeplitz determinants,bounds of Hankel determinants,Zalcman functional and Bohr's inequality.

关 键 词：univalent harmonic mapping close-to-convex harmonic mapping Bohr radius Toeplitz determinant Hankel determinant 

分 类 号：O174[理学—数学]