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On Bank-Laine functions

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Fletcher, Alastair (2009) On Bank-Laine functions. Computational Methods and Function Theory, Vol.9 (No.1). pp. 227-238.

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Official URL: http://www.heldermann.de/CMF/CMF09/CMF091/cmf09015...

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Abstract

In this article, we improve results of Langley and Whitehead on Bank-Laine functions. If E is a Bank-Laine function and F is an entire function of finite order which has the same zeros as E in a certain sector S of the complex plane and the set of Bank-Laine points of F in S has positive lower density in the set of zeros of F in S, then F can only be of a certain form.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Computational Methods and Function Theory
Publisher: Heldermann Verlag
ISSN: 1617-9447
Official Date: 2009
Dates:
DateEvent
2009Published
Volume: Vol.9
Number: No.1
Number of Pages: 12
Page Range: pp. 227-238
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access
Funder: EPSRC
Grant number: RA22AP

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