东南大学学报（英文版）2002，Vol.18Issue(3)：270-273,4.
关于可交换超越整函数的Julia集
On the Julia Sets of Permutable Transcendental Entire Functions
朱玲妹 1杨德贵 2王小灵1
作者信息
- 1. 南京经济学院应用数学系,南京,210003
- 2. 华南农业大学理学院,广州,510642
- 折叠
摘要
Abstract
Let f and g be two permutable transcendental entire functions. In this paper, we first prove that J(fg)=J(fn gm) for any positive integers n and m. Then we prove that the function h(p(z))+az ∈ / B, where h(z) is any transcendental entire function with h′(z)=0 having infinitely many solutions, p(z) is a polynomial with deg p≥2 and a(≠0)∈C.关键词
奇异值/Fatou分量/可交换的超越整函数Key words
singular value/Fatou component/permutable transcendental entire function分类
数理科学引用本文复制引用
朱玲妹,杨德贵,王小灵..关于可交换超越整函数的Julia集[J].东南大学学报（英文版）,2002,18(3):270-273,4.
