| 单位圆内有限正级亚纯函数的奇异点 |
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| 引用本文： | 张洪申.单位圆内有限正级亚纯函数的奇异点[J].南阳师范学院学报,2010,9(12):4-8. |
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| 作者姓名： | 张洪申 |
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| 作者单位： | 南阳师范学院数学与统计学院; |
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| 基金项目： | 河南省基础与前沿技术研究课题 |
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| 摘 要： | 应用Ahlfors覆盖曲面理论,得到了单位圆内有限正级亚纯函数存在涉及小函数的最大型Borel点的存在性定理;拓展了G.Valiron的结果,且使M.Tsuji的结果以本文的结果为推论.同时给出了这一存在性的等价定理.
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| 关 键 词： | 单位圆 亚纯函数 最大型Borel点 小函数 |
The singularity of meromorphic functions of finite positive order in the unit circle |
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| ZHANG Hong-shen.The singularity of meromorphic functions of finite positive order in the unit circle[J].Journal of Nanyang Teachers College,2010,9(12):4-8. |
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| Authors: | ZHANG Hong-shen |
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| Institution: | ZHANG Hong-shen(School of Mathematics and Statistics,Nanyang Normal University,Nanyang 473061,China) |
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| Abstract: | By using Ahlfors' covering surface theory,the existence theorem of maximum type Borel point of meromorphic functions of finite positive order in the unit circle dealing with small functions which extend the result of G.Valiron,and make the result of M.Tsuji into the corollary of the result of this paper and the equivalent theorem of the existence are obtained. |
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| Keywords: | unit circle meromorphic function maximum type Borel point small function |
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