| 有限级拟亚纯映射在Borel方向上的充满圆 |
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| 引用本文： | 罗仕乐,孙道椿.有限级拟亚纯映射在Borel方向上的充满圆[J].数学的实践与认识,2010,40(7). |
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| 作者姓名： | 罗仕乐 孙道椿 |
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| 作者单位： | 1. 韶关学院,数学与信息科学学院,广东,韶关,512005
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(10471048) |
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| 摘 要： | 对于开平面上有限正级的K-拟亚纯映射在Borel方向上的性质进行了研究,用比较简单的方法证明了有限正级K-拟亚纯映射在其Borel方向上一定存在充满圆序列.把A.Rauch关于亚纯函数的结果推广到K-拟亚纯映射上.
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| 关 键 词： | 有限正级 拟亚纯映射 充满圆 Borel方向 |
On the Filling Discs in Borel Direction of Finite Positive Order Quasimeromorphic Mapping |
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| LUO Shi-le,SUN Dao-chun.On the Filling Discs in Borel Direction of Finite Positive Order Quasimeromorphic Mapping[J].Mathematics in Practice and Theory,2010,40(7). |
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| Authors: | LUO Shi-le SUN Dao-chun |
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| Institution: | LUO Shi-le~1,SUN Dao-chun~2 (1.College of Mathematics , Infomatics,Shaoguan University,Shaoguan 512005,China) (2.School of Mathematics,South China Normal University,Guangzhou 510631,China) |
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| Abstract: | In this paper we study the properties in Borel Directions of Finite Positive Order k-quasimeromorphic mapping in the planes,and prove the existence of filling discs in Borel directions of finite positive order K-Quasimeromorphic mapping by the simple method to generalize the results of A.Rauch. |
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| Keywords: | finite positive order quasimeromorphic mapping filling disc Borel direction |
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