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A negative answer to a problem of bergweiler*

 

作者: Zhi-Min Gong,   Wei-Yuan Qiu,   Fu-Yao Ren,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1996）
卷期: Volume 30, issue 4  

页码: 315-322

 

ISSN:0278-1077

 

年代: 1996

 

DOI:10.1080/17476939608814933

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30D05;58F23

 

数据来源: Taylor

 

摘要:

In this paper, we prove thathas no multiply-connected Fatou components, wheregandhare entire functions, and thereforenon-constant entire) has no Herman rings, which gives a negative answer to Bergweiler's question. Also it is proved thathas no Herman rings, and on the other hand ifhas a multiply-connected Fatou component, then it is necessarily a Herman ring. We also point out thathas no Herman rings if λnis real.

 

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