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| 整函数的Baker游荡域与奇异方向 | |
| 引用本文： | 易才凤,杨向东,徐洪焱.整函数的Baker游荡域与奇异方向[J].江西师范大学学报(自然科学版),2009,33(6). |
| 作者姓名： | 易才凤 杨向东 徐洪焱 |
| 作者单位： | 1. 江西师范大学数学与信息科学学院,江西南昌,330022 2. 昆明理工大学理学院应用数学系,云南昆明,650093 3. 景德镇陶瓷学院信息学院,江西景德镇,333403 |
| 摘 要： | 讨论了Baker游荡域的存在性问题.Baker游荡域是亚纯函数复动力系统中的一种重要的Fatou分支.主要用亚纯函数Borel方向的非存在性来推断Baker游荡域的非存在性. |
| 关 键 词： | 迭代 Fatou集 游荡域 Borel方向 |
Baker Wandering Domains and Singular Directions of Meromorphic Functions |
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| YI Cai-feng,YANG Xiang-dong,XU Hong-yan.Baker Wandering Domains and Singular Directions of Meromorphic Functions[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2009,33(6). | |
| Authors: | YI Cai-feng YANG Xiang-dong XU Hong-yan |
| Institution: | YI Cai-feng1,YANG Xiang-dong2,XU Hong-yan3(1.Institute of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China,2.Department of Mathematics,Kunming University of Science and Technology,Kunming Yunnan 650093,3.Department of Informatics and Engineering,Jingdezhen Ceramic Institute,Jingdezhen Jiangxi 333403,China) |
| Abstract: | In this paper,the some problem on existence of Baker wandering domains is discussed.The Baker wandering domains are one of important Fatou components in the complex dynamics of meromorphic functions.The non-existence of the Baker wandering domains in term of non-existence Borel directions in value distribution of meromorphic functions is determined. |
| Keywords: | iteration Fatou component wandering domain Borel directions |
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