# Interpolation of sequences by analytic functions

Given a sequence of complex numbers $a_n$ with $n\in\mathbb{N}$, is it possible to find an analytic (or meromorphic) function that interpolates this sequence in the sense that $f(n)=a_n$?

If this is not always possible, what sort of conditions on the sequence could guarantee the existence of such an $f$?

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–  Yemon Choi Dec 1 '09 at 1:12