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Coefficient products for bounded univalent functions

 

作者: D. V. Prokhorov,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1995）
卷期: Volume 27, issue 3  

页码: 211-216

 

ISSN:0278-1077

 

年代: 1995

 

DOI:10.1080/17476939508814818

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30C50

 

数据来源: Taylor

 

摘要:

It is shown that the Pick functions are extremal for the functional |a2a3| in the class of bounded univalent functionsf(z)=z+a2z2+ …, |f(z)|<M,|z|<1Mis sufficiently large. This is a special case of a conjecture of Z. Jakubowski for the functional |akan| where eitherkornis even. Moreover it is shown that the Pick functions do not maximize |kan| ifkandnare odd.

 

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