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Julia sets of semi-conjugated transcendental entire functions

WANG Xiao-ling SUN Lang-wei YANG De-gui BAO Yuan-sheng

哈尔滨工业大学学报(英文版)2008,Vol.15Issue(3):383-385,3.
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 functions

Key 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.

哈尔滨工业大学学报(英文版)

1005-9113

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