Distance between a maximum modulus point and zero set of an entire function

Date

2003-07

Authors

Ostrovskii, I.
Üreyen, A. E.

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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.

Source Title

Complex Variables

Publisher

Taylor & Francis

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Keywords

Entire function, Order, Proximate order, Strong proximate order, Type

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http://hdl.handle.net/11693/48732

Published Version (Please cite this version)

https://doi.org/10.1080/0278107031000120431

Collections

Scholarly Publications - Mathematics

Language

English

Type

Article