| 亚纯函数的 Borel 方向与 Tsuji 特征函数 |
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| 引用本文： | 龙见仁,伍鹏程.亚纯函数的 Borel 方向与 Tsuji 特征函数[J].数学年刊A辑(中文版),2020,41(1):091-98. |
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| 作者姓名： | 龙见仁 伍鹏程 |
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| 作者单位： | 通信作者. 贵州师范大学 数学科学学院, 贵阳 550025.,贵州师范大学 数学科学学院, 贵阳 550025. |
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| 摘 要： | Tsuji特征函数是研究亚纯函数值分布的一个工具之一.本文利用Tsuji特征函数研究亚纯函数的辐角分布,获得了一个刻画亚纯函数Borel方向的充要条件.
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| 关 键 词： | Borel direction Proximate order Meromorphic function Tsuji characteristic function Angular domain |
| 收稿时间： | 2017/11/9 0:00:00 |
| 修稿时间： | 2018/11/5 0:00:00 |
Borel Directions and Tsuji Characteristic Functions of Meromorphic Functions |
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| LONG Jianren and WU Pengcheng.Borel Directions and Tsuji Characteristic Functions of Meromorphic Functions[J].Chinese Annals of Mathematics,2020,41(1):091-98. |
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| Authors: | LONG Jianren and WU Pengcheng |
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| Institution: | Corresponding author. School of Mathematical Science, Guizhou NormalUniversity, Guiyang 550025, China. and School of Mathematical Science, Guizhou NormalUniversity, Guiyang 550025, China. |
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| Abstract: | The Tsuji characteristic functions is one of the tools in studying the value
distribution theory of meromorphic function. The authors study the angular distribution theory of
meromorphic functions by using Tsuji characteristic functions, a sufficient and necessary
condition of Borel directions is showed in this paper. |
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| Keywords: | Borel direction Proximate order Meromorphic function Tsuji characteristic function Angular domain |
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