[1]李程鹏,李锦成.一类解析函数的Bohr定理[J].华侨大学学报(自然科学版),2021,42(4):547-550.[doi:10.11830/ISSN.1000-5013.202011005]
　LI Chengpeng,LI Jincheng.Bohr Theorem for A Class of Analytic Functions[J].Journal of Huaqiao University(Natural Science),2021,42(4):547-550.[doi:10.11830/ISSN.1000-5013.202011005]
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一类解析函数的Bohr定理()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第42卷
期数:
2021年第4期
页码:
547-550
栏目:
出版日期:
2021-07-20

文章信息/Info

Title:
Bohr Theorem for A Class of Analytic Functions
文章编号:
1000-5013(2021)04-0547-04
作者:
李程鹏;  李锦成
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
LI Chengpeng;  LI Jincheng
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
Bohr半径;  Bohr不等式;  凸函数;  解析函数
Keywords:
Bohr radius;  Bohr inequality;  convex function;  analytic function
分类号:
O174.5
DOI:
10.11830/ISSN.1000-5013.202011005
文献标志码:
A
摘要:
定义单位开圆盘D内的一个解析函数类Pα(D)={f∈A(D):Re［f(z)/z］≥α}(0<α≤1),给出其增长和掩盖定理.作为应用,得到Pα(D)上的Bohr半径r0.特别地,当α=1/2时,r0=1/3,推广了凸函数的Bohr半径.
Abstract:
The class Pα(D)={f∈A(D):Re［f(z)/z］≥α}(0<α≤1)of analytic functions in the open unit disk D is introduced. We establish the growth and covering theorem for this analytic function class. As an application, we obtain the Bohr radius r0. In particular, r0=1/3 when α=1/2, which extends the Bohr radius of convex functions.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2020-11-02
通信作者: 李锦成(1974-),男,讲师,主要从事复分析的研究.E-mail:hquljc@hqu.edu.cn.
基金项目: 国家自然科学基金资助项目(12071161); 福建省自然科学基金资助项目(2020J01073); 华侨大学高层次人才科研启动项目(19BS102)
更新日期/Last Update: 2021-07-20