关于亚纯函数唯一性的一些结果  

SOME UNIQUENESS RESULTS OF MEROMORPHIC FUNCTIONS

作　　者：徐耀[1] 张庆彩[1] 

机构地区：[1]中国人民大学信息学院,北京100872

出　　处：《数学杂志》2015年第1期110-122,共13页Journal of Mathematics

基　　金：国家自然科学基金资助(11171013)

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.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.

关 键 词：亚纯函数 小函数 唯一性 公共值 

分 类 号：O174.52[理学—数学]