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On generalized sections of univalent functions

 

作者: Richard Fournier,   Herb Silverman,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1992）
卷期: Volume 17, issue 3-4  

页码: 141-147

 

ISSN:0278-1077

 

年代: 1992

 

DOI:10.1080/17476939208814506

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30C45;30C50

 

数据来源: Taylor

 

摘要:

A classical theorem of Szego states that for functionsunivalent in |z|<1 the sequence of partial sums must be univalent in |z|<1/4. For more general sequences consisting of functions of the form, where {νk} denotes an increasing (finite or infinite) sequence of integers (≧2), we find the radius of univalent. Our work also relates to a recent convoluation conjecture due to Gruenberg, Røming, and Ruscheweyh.

 

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