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

Files

Distance_between_a_maximum_modulus_point_and_zero_set_of_an_entire_function.pdf (293.7 KB)

Date

2003-07

Authors

Ostrovskii, I.
Üreyen, A. E.

Editor(s)

Advisor

Supervisor

Co-Advisor

Co-Supervisor

Instructor

BUIR Usage Stats
3
views
42
downloads

Citation Stats

  • Share

Series

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

Course

Other identifiers

Book Title

Keywords

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

Degree Discipline

Degree Level

Degree Name

Citation

Permalink

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