邱玲,玄祖兴,赵岩.一类无穷下级整函数的Julia集的径向分布[J].数学年刊A辑,2019,40(3):325~334 |
一类无穷下级整函数的Julia集的径向分布 |
The Radial Distribution of Julia Sets of Some Entire Functions with Infinite Lower Order |
Received:May 31, 2017 Revised:July 24, 2018 |
DOI:10.16205/j.cnki.cama.2019.0024 |
中文关键词: Limit direction, Julia set, Lower order |
英文关键词:Limit direction, Julia set, Lower order |
基金项目:本文受到北京市优秀人才培养资助青年拔尖个人项目、北京市属高校高水平教师队伍建设支持计划项目(IDHT20170511)
和北京联合大学人才强校优选计划(BPHR2018CZ09)的资助. |
Author Name | Affiliation | E-mail | QIU Ling | College of Applied Sciences, Beijing University of Technology, Beijing 100124, China. | qiuling1978@bjut.edu.cn | XUAN Zuxing | Corresponding author. Department of General Education, High-speedRailway Economic Research Institute, Beijing Key Laboratory ofInformation Service Engineering, Beijing Union University, Beijing 100101, China. | zuxingxuan@163.com | ZHAO Yan | College of Applied Sciences, Beijing University of Technology, Beijing 100124, China. | qiuling1978@bjut.edu.cn |
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中文摘要: |
主要研究方程$f''(z)+A(z)f'(z)+B(z)f(z)=0 \ (A(z),B(z)$为整函数)
的解、解的多项式或微分多项式这些具有无穷下级的整函数的Julia集的径向分布问题. |
英文摘要: |
This article investigates the radial distribution of
Julia sets of some entire functions with infinite lower order which are
solutions, the polynomial or differential polynomial of solutions of the
equation $f''(z)+A(z)f'(z)+B(z)f(z)=0$. |
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