关于零级亚纯函数的一类新的奇异方向(英文)  

ON THE NEW SINGULAR DIRECTION OF ZERO ORDER MEROMORPHIC FUNCTIONS

作　　者：吴昭君[1] 孙道椿[2] 

机构地区：[1]咸宁学院数学系,湖北咸宁437005 [2]华南师范大学数学系,广东广州510631

出　　处：《数学杂志》2006年第4期399-403,共5页Journal of Mathematics

基　　金：Supported by the Natural Science Foundation of China(10471048) and HubeiEducation Committee(2003A001) and Xiangning College(KL0419)

摘　　要：本文研究了平面上的亚纯函数的奇异方向,利用Tsuji’s的第二基本定理和几个已有的关于函数增长性估计的引理,证明了平面上的零级亚纯函数至少存在一条T方向,这种方向直接以特征函数为比较函数,克服了Borel方向的定义中关于增长级不能为零的限制.In this paper, the authors consider a singular direction of an meromorphic function. By using the Tsuji＇s version of the Second Fundamental Theorem and several growth lemmas established earlier, we discuss the existence of a new singular direction for zero order meromorphic function f, namely, a T direction for f, for which the characteristic function T（r,f） is used as a comparison function. Recalling the definition of the Borel direction, this characteristic function is effective only for the finite order functions, so the idea of the T direction could remove the difficulties in the case of zero order functions.

关 键 词：T方向 型函数 特征函数 比较函数 

分 类 号：O174.55[理学—数学]