The Julia Set of the Mapping z→zexp(z+μ)  被引量:2

The Julia Set of the Mapping z→zexp(z+μ)

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作  者:乔建永 

机构地区:[1]Institute of Mathematics, Fudan University, Shanghai 200433, PRC

出  处:《Chinese Science Bulletin》1994年第7期529-533,共5页

基  金:Project supported by the Tianyuan Foundation of China.

摘  要:1 Introduction and Main Results For an entire function f(z), we denote the n-th iteration of f by f^n. The Fatouset of f is defined by F(f)={z∈C|{f^n} is normal at z}, the complement J(f)=C\F(f)is called Julia set. A Julia set is a closed perfect set, and it is completelyinvariant under the mapping f.The iterated dynamical system of a complex analyticfunction was investigated by Fatou and Julia a long time ago. Recently, it hasbecome an active branch of the complex analysis.

关 键 词:complex DYNAMICAL system ITERATION PERIODIC domain. 

分 类 号:O19[理学—数学]

 

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