Computational Methods and Function Theory 9 (2009), No. 1, 227--238
Copyright Heldermann Verlag 2009
Alastair Fletcher
alastair.fletcher@nottingham.ac.uk , University of Nottingham, School of Mathematical Sciences, Nottingham, NG7 2RD, U.K.
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.
Keywords: Bank-Laine functions, zeros.
MSC 2000: 30D35, 34M05.
[FullText-pdf (269 K)] [FullText-ps (442 K)]