哈尔滨工业大学学报(英文版)2008,Vol.15Issue(3):383-385,3.
Julia sets of semi-conjugated transcendental entire functions
Julia sets of semi-conjugated transcendental entire functions
WANG Xiao-ling 1SUN Lang-wei 1YANG De-gui 2BAO Yuan-sheng1
作者信息
- 1. Dept. of Applied Mathematics,Nanjing University of Finance and Economics, Nanjing 210003, China
- 2. College of Sciences, South China Agriculture University,Guangzhou 510642, China
- 折叠
摘要
Abstract
Suppose that f and g are two transcendental entire functions, and h is a non-constant periodic entire function. We denote the Julia set and Fatou set of f by J(f) and F(f), respectively. If f and g are semiconjugat-∈F(f) if and only if h(z) ∈F(g)), and this extends a result of Bergweiler.关键词
Fatou component/ Julia set/ transcendental entire functionsKey words
Fatou component/ Julia set/ transcendental entire functions分类
数理科学引用本文复制引用
WANG Xiao-ling,SUN Lang-wei,YANG De-gui,BAO Yuan-sheng..Julia sets of semi-conjugated transcendental entire functions[J].哈尔滨工业大学学报(英文版),2008,15(3):383-385,3.