摘要
特征函数是研究亚纯函数惟一性的重要工具.通过对特征函数,尤其是计数函数的深入分析,平行推广了现有对享有4个IM公共小函数且满足一定条件的亚纯函数惟一性的研究成果,得到了享有3个IM公共小函数和满足一定条件的亚纯函数的惟一性.为进一步探讨亚纯函数的惟一性提供了一个新的平台.
Characteristic function is a crucial tool for studying the uniqueness of meromorphic function . By the study of characteristic function, especially the counting function, the uniqueness of two meromorphic functions sharing three small functions IM and satisfying some conditions can be obtained,which is a parallel conclusion of the obtained result about the uniqueness of two meromorphic functions sharing four small functions IM and satisfying some conditions. This conclusion provides a new platform for the further study of the uniqueness of meromorphic function.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2007年第5期835-839,共5页
Journal of Shanghai Jiaotong University
