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On Zero and One Points of Analytic Functions

 

作者: Vincent D. Blondel,   Rudolf Rupp,   Harold S. Shapiro,  

 

期刊: Complex Variables, Theory and Application: An International Journal  (Taylor Available online 1995)
卷期: Volume 28, issue 2  

页码: 189-192

 

ISSN:0278-1077

 

年代: 1995

 

DOI:10.1080/17476939508814848

 

出版商: Gordon and Breach Science Publishers

 

关键词: AMS No. 30C15;93D15

 

数据来源: Taylor

 

摘要:

Letfbe an analytic function in the open unit disk that assumes the values 0 and 1 at least once and an unequal number of rimes in a disk of radius 1 10-5entered at the origin. We prove thatfmust assume the value 0 or 1 elsewhere in the unit disk. This result is motivated by a control engineering design problem which is also presented.

 

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