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Computational Methods and Function Theory 9 (2009), No. 1, 213--225
Copyright Heldermann Verlag 2009

A Generalisation of the Bank-Laine Property

Jim Langley
jkl@maths.nott.ac.uk , University of Nottingham, School of Mathematical Sciences, NG7 2RD, U.K.

Janis Meyer
janis.meyer@maths.nottingham.ac.uk , University of Nottingham, School of Mathematical Sciences, NG7 2RD, U.K.

[Abstract-pdf] [Abstract-ps]

Let k ∈ N and let A, B be finite subsets of C. Under appropriate conditions on k, A and B we determine those entire functions f such that f(z) ∈ A implies that f(k)(z) ∈ B.

Keywords: Meromorphic functions, value distribution, Bank-Laine property.

MSC 2000: 30D35.

[FullText-pdf (296 K)] [FullText-ps (480 K)]