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Points where univalent functions may coincide

 

作者: Peter Lappan,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1985）
卷期: Volume 5, issue 1  

页码: 17-20

 

ISSN:0278-1077

 

年代: 1985

 

DOI:10.1080/17476938508814124

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30C55;30D50

 

数据来源: Taylor

 

摘要:

Letbe a Blaschke sequence of points in the unit disk, with, such thatconverges to a point ζon the unit circle. We prove that ifthen there exists a pair of bounded univalent functions f andg, with f(0)=g(0)=0 and f′(0)=g′(0)=1, such that f(z)=g(z) if and only if.This result, and another slight extension of this result, gives a partial solution to a problem of P. L. Duren and A. Obrock.

 

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