NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A HOLOMORPHIC FUNCTION AND THE CONVERSE OF THE BLOCH PRINCIPLE  

作　　者：姜云波 高宗升 

机构地区：[1]LMIB and School of Mathematics and Systems Science,Beihang University,Beijing 100191,China

出　　处：《Acta Mathematica Scientia》2012年第4期1503-1512,共10页数学物理学报（B辑英文版）

基　　金：Supported by the NSFC (11171013)

摘　　要：In this paper, we investigate normal families of meromorphic functions, prove some theorems of normal families sharing a holomorphic function, and give a counterex- ample to the converse of the Bloch principle based on the theorems.In this paper, we investigate normal families of meromorphic functions, prove some theorems of normal families sharing a holomorphic function, and give a counterex- ample to the converse of the Bloch principle based on the theorems.

关 键 词：meromorphic function holomorphic function shared function normal family Bloch principle 

分 类 号：O174.52[理学—数学] TP393[理学—基础数学]