Computational Methods and Function Theory 9 (2009), No. 1, 335--345
Copyright Heldermann Verlag 2009
On Bank-Laine Functions
email@example.com , King Abdulaziz University, Department of Mathematics, P.O.Box 80203, Jeddah 21589, Saudi Arabia.
We obtain the following result: Suppose that (an) is a sequence of distinct complex numbers such that the imaginary part of an is very close to zero and such that for ε>0, we have |am-an|>ε|an|>0 for all m,n, n≠m. Then (an) is not a Bank-Laine sequence.
Keywords: Nevanlinna theory, Bank-Laine functions, Oscillation theory.
MSC 2000: 30D35.
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