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| 关于零级亚纯函数的一类新的奇异方向 | |
| 引用本文： | 吴昭君,孙道椿. 关于零级亚纯函数的一类新的奇异方向[J]. 数学杂志, 2006, 26(4): 399-403 |
| 作者姓名： | 吴昭君 孙道椿 |
| 作者单位： | 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 |
| 基金项目： | 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. |
| 关 键 词： | T方向 型函数 特征函数 比较函数 |
| 文章编号： | 0255-7797（2006）04-0399-05 |
| 收稿时间： | 2004-04-16 |
| 修稿时间： | 2004-04-16 |
ON THE NEW SINGULAR DIRECTION OF ZERO ORDER MEROMORPHIC FUNCTIONS |
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| WU Zhao-jun,SUN Dao-chun. ON THE NEW SINGULAR DIRECTION OF ZERO ORDER MEROMORPHIC FUNCTIONS[J]. Journal of Mathematics, 2006, 26(4): 399-403 | |
| Authors: | WU Zhao-jun SUN Dao-chun |
| Affiliation: | 1. Dept. of Math. Xianning College, Xianning 437005, China;2. Dept. of Math. South China Normal University, Guangzhou 510631, China |
| Abstract: | 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. |
| Keywords: | T direction type function characteristic function comparison function |
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