Distance between a maximum modulus point and zero set of an entire function
Date
2003-07
Authors
Ostrovskii, I.
Üreyen, A. E.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Complex Variables
Print ISSN
0278-1077
Electronic ISSN
1563-5066
Publisher
Taylor & Francis
Volume
48
Issue
7
Pages
583 - 598
Language
English
Type
Journal Title
Journal ISSN
Volume Title
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Abstract
Let f be an entire function of finite positive order. A maximum modulus point is a point w such that j fðwÞj maxfjfðzÞj: jzjjwjg. We obtain lower bounds for the distance between a maximum modulus point w and the zero set of f. These bounds are valid for all sufficiently large values of jwj.