| 缺项幂级数表示的超越整函数Fatou分支有界性 |
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| 引用本文： | 杨存基,李玉华.缺项幂级数表示的超越整函数Fatou分支有界性[J].数学学报,2012(1):179-186. |
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| 作者姓名： | 杨存基 李玉华 |
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| 作者单位： | 大理学院数学与计算机学院;云南师范大学数学学院 |
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| 基金项目： | 云南省应用基础研究项目(2006A0026M);大理学院博士科研启动基金项目(KYBS200911) |
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| 摘 要： | 讨论了几类用缺项幂级数表示的超越整函数Fatou集分支的有界性,并给出了其Fatou分支均有界的充分条件.
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| 关 键 词： | 缺项幂级数 超越整函数 Fatou分支 |
Bounded Fatou Components of Transcendental Entire Functions with Gaps |
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| Cun Ji YANG School of Mathematics and Computer,Dali University,Dali,P.R.China Yu Hua LI.Bounded Fatou Components of Transcendental Entire Functions with Gaps[J].Acta Mathematica Sinica,2012(1):179-186. |
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| Authors: | Cun Ji YANG School of Mathematics and Computer Dali University Dali PRChina Yu Hua LI |
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| Institution: | School of Mathematics,Yunnan Normal University,Kunming 650092,P.R.China |
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| Abstract: | We discuss the boundedness of Fatou components of transcendental entire function with certain gaps.We prove that every component of its Fatou set is bounded. |
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| Keywords: | gap power series transcendental entire function Fatou component |
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