| 关于拟亚纯映射在Borel方向上的充满圆 |
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| 引用本文： | 罗仕乐,易才凤.关于拟亚纯映射在Borel方向上的充满圆[J].江西师范大学学报(自然科学版),2007,31(3):228-231,235. |
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| 作者姓名： | 罗仕乐 易才凤 |
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| 作者单位： | 1. 韶关学院数学系,广东,韶关,512005
2. 江西师范大学,数学与信息科学学院,江西,南昌,330022 |
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| 摘 要： | 对于开平面上的有限正级亚纯函数在其Borel方向上的性质,A.Rauch证明了一个重要定理.本文对于开平面上K-拟亚纯映射在Borel方向上的性质进行了研究,证明了正级(包括无穷级)和部分零级K-拟亚纯映射在Borel方向上一定存在充满圆序列,推广了A.Rauch的结果.
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| 关 键 词： | 拟亚纯映射 充满圆 Borel方向 |
| 文章编号： | 1000-5862（2007）03-0228-04 |
| 修稿时间： | 2006-11-16 |
On the Filling Discs in Borel Directions of Quasimeromorphic Mapping |
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| LUO Shi-le,YI Cai-feng.On the Filling Discs in Borel Directions of Quasimeromorphic Mapping[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2007,31(3):228-231,235. |
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| Authors: | LUO Shi-le YI Cai-feng |
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| Institution: | 1. Department of Mathematics, Shaoguan University, Shaoguan 512005, China; 2. Institute of Mathematics and Infornatics, Jiangxi Normal University, Nanchang 330022, China |
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| Abstract: | For the properties in Borel directions of finite positive order meromorphic functions in the planes.A.Rauch had proved an important theorem.We study the properties in Borel directions of K-quasimeromorphic mapping in the planes,and prove the existence of filling discs in Borel directions of positive order(include in-finite) and some zero order K-quasimeromorphic mapping to generalize the results A.Rauch. |
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| Keywords: | quasimeromorphic mapping filling discs Borel direction |
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