Computational Methods and Function Theory 5 (2005), No. 2, 253--262
Copyright Heldermann Verlag 2005
James K. Langley
jkl@maths.nott.ac.uk , School of Mathematical Sciences, University of Nottingham, NG7 2RD, U.K.
Let $f$ be meromorphic in the plane and let $g$ be an entire function such that $f(z) \in \mathbb{Z}$ whenever $g(z) \in \mathbb{N}$. Under certain conditions on the growth of $f$ relative to $g$ and the location of the poles of $f$ it is shown that $f $ has the form $f = G \circ g$ with $G$ an entire function of subexponential growth.
Keywords: Meromorphic functions, zeros, Wiman-Valiron theory.
MSC 2000: 30D20, 30D35.
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