超越整函数半群的斜积

Skew Product of Transcendental Semigroups

设G是一个由有限个超越整函数f1f,2,…f,m生成的半群,其中半群运算是函数的复合.结合词空间∑={1,…,m}N定义斜积,在此基础上给出斜积的Fatou集和Julia集的定义,得到了它的Fatou集和Julia集的跟古典Fatou-Julia理论相似的一些基本性质.

This paper investigates the skew product of transcendental semigroups G which is generated by the family{f1,f2,…,fm}.Combined with ∑={1,…m}^N,definitions of the Fatou set and Julia set of skew product of G are offered.Some basic properties of the sets are then obtained,which are similar to the known results of the sets.