On the dynamics of composite entire functions

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	On the dynamics of composite entire functions
	Bergweiler, W ; Wang, YF
	1998-03-01
发表期刊	ARKIV FOR MATEMATIK
ISSN	0004-2080
卷号	36 期号:1 页码:31-39
摘要	Let f and g be nonlinear entire functions. The relations between the dynamics of f circle g and g circle f are discussed. Denote by J(.) and F(.) the Julia and Fatou sets. It is proved that if z is an element of C, then z is an element of J(f circle g) if and only if g(z)is an element of J(g circle f); if U is a component of F(f circle g) and V is the component of F(g circle f) that contains g(U), then U is wandering if and only if V is wandering; if U is periodic, then so is V and moreover, V is of the same type according to the classification of periodic components as U. These results are used to show that certain new classes of entire functions do not have wandering domains.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000072635500002
出版者	INST MITTAG LEFFLER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13350
专题	数学所
作者单位	1.Univ Kiel, Math Seminar, D-24098 Kiel, Germany 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Bergweiler, W,Wang, YF. On the dynamics of composite entire functions[J]. ARKIV FOR MATEMATIK,1998,36(1):31-39.
APA	Bergweiler, W,&Wang, YF.(1998).On the dynamics of composite entire functions.ARKIV FOR MATEMATIK,36(1),31-39.
MLA	Bergweiler, W,et al."On the dynamics of composite entire functions".ARKIV FOR MATEMATIK 36.1(1998):31-39.