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On behavior of gap series on curves and a cos φλ-type theorem

 

作者: Alexander Fryntov,  

 

期刊: Complex Variables, Theory and Application: An International Journal  (Taylor Available online 1998)
卷期: Volume 37, issue 1-4  

页码: 195-209

 

ISSN:0278-1077

 

年代: 1998

 

DOI:10.1080/17476939808815133

 

出版商: Gordon and Breach Science Publishers

 

关键词: Entire functions;gap power series;subharmonic functions;Classification Categories;30D35;30D10

 

数据来源: Taylor

 

摘要:

Letf(z)be an entire function of finite lower order λ and representable by a gap power serieswhere A ⊂ N and. In the paper we prove that if γ is an unbounded curve which meets every circle [∣,z∣, = r] once and λΔ < 1/3 then the inequalityis valid.

 

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