| 关于亚纯函数唯一性的一些结果 |
| |
| 引用本文： | 徐耀,张庆彩.关于亚纯函数唯一性的一些结果[J].数学杂志,2015,35(1):110-122. |
| |
| 作者姓名： | 徐耀 张庆彩 |
| |
| 作者单位： | 中国人民大学信息学院,北京,100872 |
| |
| 摘 要： | 本文研究了涉及重值的具有四个公共小函数的亚纯函数的唯一性问题.利用关于小函数的Nevanlinna第二基本定理精简形式及处理小函数的有关方法,改进了有关结果.利用Gundersen处理公共值对的方法,对具有五个IM公共值对和四个IM公共小函数对的亚纯函数的情况作了进一步讨论,推广改进了相关结果.
|
| 关 键 词： | 亚纯函数 小函数 唯一性 公共值 |
| 收稿时间： | 2012/11/6 0:00:00 |
| 修稿时间： | 2013/1/16 0:00:00 |
SOME UNIQUENESS RESULTS OF MEROMORPHIC FUNCTIONS |
| |
| XU Yao and ZHANG Qing-cai.SOME UNIQUENESS RESULTS OF MEROMORPHIC FUNCTIONS[J].Journal of Mathematics,2015,35(1):110-122. |
| |
| Authors: | XU Yao and ZHANG Qing-cai |
| |
| Institution: | School of Information, Renmin University of China, Beijing 100872, China and School of Information, Renmin University of China, Beijing 100872, China |
| |
| Abstract: | In this paper, we study the uniqueness of meromorphic functions sharing four small functions concerning the multiplicities. Using the precise form of the second fundamental theorem of Nevanlinna concerning small functions and the some technique of dealing with small functions, we improve some previous results. And also by the methods of handling shared pairs given by Gundersen, we further research the problems of meromorphic functions sharing five pairs of values or sharing four pairs of small functions, and obtain some results which extending and improving the related results. |
| |
| Keywords: | meromorphic function small function uniqueness shared value |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
|
