| 关于周期稳定域的边界 |
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| 引用本文： | 乔建永.关于周期稳定域的边界[J].淮北煤炭师范学院学报(自然科学版),1994(4). |
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| 作者姓名： | 乔建永 |
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| 作者单位： | 淮北煤师院数学系 |
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| 基金项目： | 煤炭院校优秀青年科学基金 |
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| 摘 要： | 本文研究超越整函数映照迭代的Fatou集的边界的几何性质。证明了有界周期分支的边界是比较复杂的。最后讨论了一类缺项幕级数定义的整函数的某些Fatou分支的有界性及其边界的复杂性。
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| 关 键 词： | 迭代 分支 周期 Fatou集 |
On the Boundaries of Periodic Stable Domains |
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| Qiao Jianyong.On the Boundaries of Periodic Stable Domains[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),1994(4). |
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| Authors: | Qiao Jianyong |
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| Institution: | Dept. of Math |
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| Abstract: | In this paper, we investigate the geometric properties of the boundaries of the Fatou sets of the iterations of transcendental entire mapping. We prove that the hounded boundaries of the components of the Fatou sets are quite complicated curves. The boundedriess and the complexity of the Fatou components oi some enture functions given by lacunary power serieses are also discussed. |
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| Keywords: | interation component period fatou set |
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