| The Dynamics of Semigroups of Transcendental Meromorphic Functions |
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| 作者姓名： | 黄志刚 |
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| 作者单位： | DepartmentofMathematicalSciences,TsinghuaUniversity,Beijing100084,China |
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| 摘 要： | This paper considers the dynamics associated with an arbitrary semigroup of transcendental meromorphic functions. Fatou-Julia theory was used to investigate the dynamics of these semigroups Some results of the dynamics of a rational mapping on the Riemann sphere were extended to the case.
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| 关 键 词： | 先验亚纯函数 半群 动力学 超越整函数 黎曼球体 |
The Dynamics of Semigroups of Transcendental Meromorphic Functions |
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| HUANG Zhigang.The Dynamics of Semigroups of Transcendental Meromorphic Functions[J].Tsinghua Science and Technology,2004,9(4):472-474. |
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| Authors: | HUANG Zhigang |
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| Institution: | HUANG Zhigang Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China,Department of Applied Mathematics,University of Science and Technology of Suzhou,Suzhou 215009,China |
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| Abstract: | This paper considers the dynamics associated with an arbitrary semigroup of transcendental meromorphic functions. Fatou-Julia theory was used to investigate the dynamics of these semigroups. Some results of the dynamics of a rational mapping on the Riemann sphere were extended to the case. |
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| Keywords: | semigroup dynamics transcendental entire function |
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