Abstract
Let f be meromorphic in the plane and let g be an entire function such that f(z) ∈ ℤ whenever g(z) ∈ 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 ο g with G an entire function of subexponential growth.
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Research partly carried out during a visit to the Christian-Albrechts-Universität Kiel, supported by a grant from the Alexander von Humboldt Stiftung.
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Langley, J.K. Integer Points of Meromorphic Functions. Comput. Methods Funct. Theory 5, 253–262 (2006). https://doi.org/10.1007/BF03321097
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DOI: https://doi.org/10.1007/BF03321097