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An analogue of the defect relation for the uniform metric

 

作者: A. Eremenko,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1997）
卷期: Volume 34, issue 1-2  

页码: 83-97

 

ISSN:0278-1077

 

年代: 1997

 

DOI:10.1080/17476939708815039

 

出版商: Gordon and Breach Science Publishers

 

关键词: Meromorphic Function;Subharmonic Function;Ahlfors Theory;AMS Subject Classification 30D30;AMS Subject Classification 30D35

 

数据来源: Taylor

 

摘要:

Letfbe a meromorphic function in the plane, denote by A(r,f) the spherical area off({z:|z|≤r}) divided by the area of the Riemann sphere. For aa∈CputandPutB(f) = {a:b(a,f)<0}. Then the setB(f) is at most countable for every meromorphic functionf. If there existsa0such thatb(a0f)<2π thenB(f)={a0}. OtherwiseFor functionsfof order λ>1/2 we always have (1) and more, for any set {a1,…,aq} ⊂ Ȼ there is a sequencerk→∞ such that.

 

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