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The fekete—szegö inequality for complex parameters

 

作者: Albert Pfluger,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1986）
卷期: Volume 7, issue 1-3  

页码: 149-160

 

ISSN:0278-1077

 

年代: 1986

 

DOI:10.1080/17476938608814195

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30C45

 

数据来源: Taylor

 

摘要:

The inequalitywas proved for a real parameter λ, 0 < λ < 1, by Fekete and Szegö with the Loewner method, and by J. A. Jenkins (Analytic Functions, Princeton, 1960) using the general coefficient theorem. Following his method it is proved that (1°) the above inequality holds for complex λ such thatand (2°) this inequality is sharp if and only ifwhere

 

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