| CM分担两个小函数且IM分担另一个小函数的亚纯函数 |
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| 引用本文： | 黄志坚,姚卫红. CM分担两个小函数且IM分担另一个小函数的亚纯函数[J]. 数学杂志, 2006, 26(3): 265-271 |
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| 作者姓名： | 黄志坚 姚卫红 |
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| 作者单位： | 上海交通大学数学系,上海,200240 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(No.10271077)andNatural Science Foundation of Zhejiang Province(No.M103006). |
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| 摘 要： | 本文研究了两个亚纯函数共享两个CM小函数和一个I M小函数,并存在第四个小函数和一定条件下的唯一性.利用构造辅助函数方法,得到一个亚纯函数是另一个亚纯函数的拟分式线性变换.
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| 关 键 词： | 亚纯小函数 小函数 Picard例外值 拟分式线性变换 |
| 文章编号： | 0255-7797（2006）03-0265-07 |
| 收稿时间： | 2004-03-02 |
| 修稿时间： | 2004-03-02 |
MEROMORPHIC FUNCTIONS SHARING TWO SMALL FUNCTIONS CM AND ONE OTHER SMALL FUNCTIONS IM |
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| HUANG Zhi-jian,YAO Wei-hong. MEROMORPHIC FUNCTIONS SHARING TWO SMALL FUNCTIONS CM AND ONE OTHER SMALL FUNCTIONS IM[J]. Journal of Mathematics, 2006, 26(3): 265-271 |
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| Authors: | HUANG Zhi-jian YAO Wei-hong |
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| Affiliation: | Dept. of Math. Shanghai Jiao Tong University, Shanghai 200240, China |
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| Abstract: | In this paper, we study the uniqueness of two meromorphic functions sharing two small functions CM and one small function IM with a fourth small function under certain conditions. By the method of constructing auxiliary functions, we get a result for two meromorphic functions, one to be a qusai-Moebius transformation of the other. |
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| Keywords: | meromorphic function small function picard value |
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