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Integer Points of Meromorphic Functions

Integer Points of Meromorphic Functions 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Integer Points of Meromorphic Functions

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Publisher
Springer Journals
Copyright
Copyright © 2005 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321097
Publisher site
See Article on Publisher Site

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.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Mar 7, 2013

References