南京大学学报(数学半年刊)
南京大學學報(數學半年刊)
남경대학학보(수학반년간)
JOURNAL OF NANJING UNIVERSITY MATHEMATICAL BIQUARTERLY
2000年
2期
218-223
,共6页
复动力系统%Diophantine盘.Julia集%周期点
複動力繫統%Diophantine盤.Julia集%週期點
복동력계통%Diophantine반.Julia집%주기점
complex dynamics%Diophantine disk%julia set. periodic point
设厂是超越整函数.并且F(f)≠¢.本文中我们证明如下结果;如F(f)不含Diophantine Siegel盘.则对几乎所有α∈EF(f),有 J(f)=--∞∪n=0f-n(α)其次我们考虑周期点属于F(f)的条件.
設廠是超越整函數.併且F(f)≠¢.本文中我們證明如下結果;如F(f)不含Diophantine Siegel盤.則對幾乎所有α∈EF(f),有 J(f)=--∞∪n=0f-n(α)其次我們攷慮週期點屬于F(f)的條件.
설엄시초월정함수.병차F(f)≠¢.본문중아문증명여하결과;여F(f)불함Diophantine Siegel반.칙대궤호소유α∈EF(f),유 J(f)=--∞∪n=0f-n(α)기차아문고필주기점속우F(f)적조건.
In this paper, for a transcendentai entire function f and F(f)≠¢. We prove the following conclusion: J(f)=-∞∪n=0f-n(α) holds for almost all α∈F(f) if F(f) does not contain non-Diophantine Siegel discs or (pre)-non-Diophantine Siegel discs. Next we consider the condition under which a periodic point belongs to F(f).