| 一类无穷下级整函数的Julia集的径向分布 |
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| 引用本文： | 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(中文版),2019,40(3):325-334. |
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| 作者姓名： | 邱玲 玄祖兴 赵岩 |
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| 作者单位： | 北京工业大学 应用数理学院, 北京 100124.,通信作者. 北京联合大学基础部 北京市信息服务工程重点实验室 高铁经济研究院, 北京 100101.,北京工业大学 应用数理学院, 北京 100124. |
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| 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. |
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| 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.
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| 关 键 词： | Limit direction Julia set Lower order |
| 收稿时间： | 2017/5/31 0:00:00 |
| 修稿时间： | 2018/7/24 0:00:00 |
The Radial Distribution of Julia Sets of Some Entire Functions with Infinite Lower Order |
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| QIU Ling,XUAN Zuxing and ZHAO Yan.The Radial Distribution of Julia Sets of Some Entire Functions with Infinite Lower Order[J].Chinese Annals of Mathematics,2019,40(3):325-334. |
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| Authors: | QIU Ling XUAN Zuxing and ZHAO Yan |
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| Institution: | College of Applied Sciences, Beijing University of Technology, Beijing 100124, China.,Corresponding author. Department of General Education, High-speedRailway Economic Research Institute, Beijing Key Laboratory ofInformation Service Engineering, Beijing Union University, Beijing 100101, China. and College of Applied Sciences, Beijing University of Technology, Beijing 100124, China. |
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| Abstract: | 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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| Keywords: | Limit direction Julia set Lower order |
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