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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. ISSN 1617-9447.
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Official URL: http://www.heldermann.de/CMF/CMF09/CMF091/cmf09015...
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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Computational Methods and Function Theory | ||||
Publisher: | Heldermann Verlag | ||||
ISSN: | 1617-9447 | ||||
Official Date: | 2009 | ||||
Dates: |
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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 (Creative Commons) | ||||
Funder: | EPSRC | ||||
Grant number: | RA22AP |
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