超越整函数fu：z→zexp（z＋u）的动力性质

摘要: 研究了超越整函数ｆｕ（ｚ）＝ｚｅｘｐ（ｚ＋ｕ）（其中ｕ为复参数）的动力学性质：存在一无界正实数序列｛Ｕｎ｝使得Ｊ｛ｆμｎ｝≠Ｄ，同时对Ｆ（ｆｕ）的分支个数及Ｊ（ｆｕ）上淹没点的情况也作了较详细的研究。
- 复动力学 /
- Julia集 /
- Fatou集 /
- 分支 /
- 超越整函数
Abstract: The dynamical properties of hyper interal function f u(z)=z exp (z+u) ,where u is a complex para meter was studied. It was found that there exits an unbounexd sequence { U n} of positive real numbers such that J(F Un )=D. The number of branches of F(f u) and the buried points of J(f n) were also studied in detail.
- complex dynamics /
- Julia set /
- Fatouy set /
- branch