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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