局部单叶对数调和映射的Bohr半径  

THE BOHR RADIUS FOR UNIVALENT LOCALLY LOG-HARMONIC MAPPINGS

作　　者：江清华 袁文俊[1] JIANG Qing-hua;YUAN Wen-jun(School of Mathematics and Information Science Guangzhou University,Guangzhou 510006,China)

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《数学杂志》2021年第1期88-94,共7页Journal of Mathematics

基　　金：广州大学研究生基础创新项目基金资助(2017GDJC-D07).

摘　　要：本文研究了一类局部单叶对数调和映射的若干性质.利用复分析的方法与技巧,获得了该类映射的增长定理和两种新的Bohr半径,推广了几何函数的理论研究结果.In this paper,we study some properties of a certain class of univalent locally log-harmonic mappings.By using complex analysis methods and techniques,we obtain the growth theorem and two distinctive sharp Bohr radius for given the certain mappings.These results generalize the theoretical research results of the geometric function theory.

关 键 词：单叶对数调和映射 Bohr半径 增长定理 估计 

分 类 号：O174[理学—基础数学]