| 单位圆内代数体函数的充满圆及Borel半径 |
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| 引用本文： | 吴晓,唐艳秋,孙道椿.单位圆内代数体函数的充满圆及Borel半径[J].数学的实践与认识,2012,42(18):256-261. |
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| 作者姓名： | 吴晓 唐艳秋 孙道椿 |
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| 作者单位： | 1. 广东肇庆学院数学与信息科学学院,广东肇庆,526061
2. 华南师范大学数学科学学院,广东广州,510631 |
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| 基金项目： | 国家自然科学基金，肇庆学院科学研究基金 |
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| 摘 要： | 研究了单位圆内具有有限个分支点的代数体函数,并用覆盖曲面的几何方定义了他们的级和Borel半径,得到了在单位圆内大于1的有穷级代数体函数必存在充满圆及Borel半径.
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| 关 键 词： | 代数体函数 覆盖曲面 充满圆 Borel半径 |
The Filling Disks and Borel Radius of Algebroidal Functions in the Unit Disk |
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| WU Xiao
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TANG Yan-qiu
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SUN Dao-chun.The Filling Disks and Borel Radius of Algebroidal Functions in the Unit Disk[J].Mathematics in Practice and Theory,2012,42(18):256-261. |
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| Authors: | WU Xiao TANG Yan-qiu SUN Dao-chun |
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| Institution: | 1.Colloge of Mathematics and Information Science,Zhaoqing University,Zhaoqing 526061,China) (2.School of mathematical science,South China Normal University,Guangzhou 510631,China) |
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| Abstract: | In this paper,the algebroidal functions with finite ramification points in the unit disk are studied,and their orders and Borel radius by using the geometric method of covering surface are defined.Then the filling disks and existence theorems of Borel radius whose order is finite and larger than 1 are obtained. |
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| Keywords: | aigebroidal function covering surface filling disks Borel radius |
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