东华大学学报（英文版）2006，Vol.23Issue(2)：80-82,3.
On the Growth of Transcendental Entire Functions with Unbounded Fatou Components
On the Growth of Transcendental Entire Functions with Unbounded Fatou Components
WU Jia-feng 1XU Guang-wei 2WANG Xiao-ling1
作者信息
- 1. Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003
- 2. Department of Computer Science and Technology, Donghua University, Shanghai 200051
- 折叠
摘要
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.关键词
Unbounded Fatou component/lower order/Fatou setsKey words
Unbounded Fatou component/lower order/Fatou sets分类
社会科学引用本文复制引用
WU Jia-feng,XU Guang-wei,WANG Xiao-ling..On the Growth of Transcendental Entire Functions with Unbounded Fatou Components[J].东华大学学报（英文版）,2006,23(2):80-82,3.
