On Bank-Laine functions

Fletcher, A. (2009) On Bank-Laine functions. Computational Methods and Function Theory, 9, pp. 227-238.

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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:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Fletcher, Dr Alastair
Authors: Fletcher, A.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Computational Methods and Function Theory
ISSN:1617-9447

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