| On the Growth of Transcendental Entire Functions with Unbounded Fatou Components |
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| 作者姓名： | 伍家凤 徐光伟 王小灵 |
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| 作者单位： | [1]Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003 [2]Department of Computer Science and Technology, Donghua University, Shanghai 200051 |
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| 摘 要： | Suppose that f（ z ） is a transcendental entire function and that F（f） contains unbounded Fatou components. In this article, we obtained some links between the lowor bounds of the lower order of f and the angle of an angular sector which is completely contained in an unbounded Fatou component of F（f）. Then, we investigate the bounded components for the Julia set J（f） of a transcendental entire function f（z ） and obtain a sufficient and necessary condition.
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| 关 键 词： | 低次序 超越完整函数 角扇区 必需条件 |
| 收稿时间： | 2004-01-02 |
On the Growth of Transcendental Entire Functions with Unbounded Fatou Components |
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| WU Jia-feng,XU Guang-wei,WANG Xiao-ling.On the Growth of Transcendental Entire Functions with Unbounded Fatou Components[J].Journal of Donghua University,2006,23(2):80-82. |
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| Authors: | WU Jia-feng XU Guang-wei WANG Xiao-ling |
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| Abstract: | Suppose that f(z) is a transcendental entire function and that F(f) contains unbounded Fatou components. In this article, we obtained some links between the lower bounds of the lower order of f and the angle of an angular sector which is completely contained in an unbounded Fatou component of F(f). Then, we investigate the bounded components for the Julia set J(f) of a transcendental entire function f(z) and obtain a sufficient and necessary condition. |
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| Keywords: | Unbounded Fatou component lower order Fatou sets |
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