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Bank-Laine functions with sparse zeros
Author(s):
J.
K.
Langley
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1969-1978.
MSC (2000):
Primary 30D35;
Secondary 34M05, 34M10
Posted:
November 30, 2000
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Abstract:
A Bank-Laine function is an entire function  satisfying  at every zero of  . We construct a Bank-Laine function of finite order with arbitrarily sparse zero-sequence. On the other hand, we show that a real sequence of at most order 1, convergence class, cannot be the zero-sequence of a Bank-Laine function of finite order.
References:
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Additional Information:
J.
K.
Langley
Affiliation:
School of Mathematical Sciences, University of Nottingham, NG7 2RD United Kingdom
Email:
jkl@maths.nott.ac.uk
DOI:
10.1090/S0002-9939-00-05779-8
PII:
S 0002-9939(00)05779-8
Received by editor(s):
July 6, 1999
Received by editor(s) in revised form:
October 13, 1999
Posted:
November 30, 2000
Communicated by:
Albert Baernstein II
Copyright of article:
Copyright
2000,
American Mathematical Society
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