关于亚纯函数唯一性的一些结果

摘要

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.%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。