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On a conjecture of brickman concerning complex polynomials

 

作者: J. G. Clunie,   St. Ruscheweyh,   L. Salinas,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1987）
卷期: Volume 8, issue 3-4  

页码: 229-242

 

ISSN:0278-1077

 

年代: 1987

 

DOI:10.1080/17476938708814235

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30C10;30C25;30C75;30E10

 

数据来源: Taylor

 

摘要:

In this paper we present some partial results for the following conjecture of L. Brickman: IfP≢0 is a polynomial of degreenwithP(0) = 0 and α∈(0,π) then there exists an arc Γ on |z|=1 of length at least 2α/nsuch that |arg(P(z))|≦α, z∈Γ.

 

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