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An extremal modulus problem for univalent functions

 

作者: Robin Cunningham,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1996）
卷期: Volume 29, issue 3  

页码: 221-224

 

ISSN:0278-1077

 

年代: 1996

 

DOI:10.1080/17476939608814889

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30C45;30C55;33E05

 

数据来源: Taylor

 

摘要:

Over the classSof normalized univalent functions in the unit disk, a variational method is used to find the maximum of |f(ζ|/Rffor fixed ζ in the unit disk and whereRfis the logarithmic capacity of the range off. The solution is given explicitly in terms of standard elliptic integrals and implications for other work are described.

 

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