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This isn't actually for a homework problem, but I'm trying to find a closed form for the following expression:

[tex]S(z) = \sum_{n=1}^\infty \exp(\frac{i}{n}) z^{-n}[/tex]

(Provided that it converges, of course.) Anyone have any tips, or know of any transcendental functions that might help me out? If you did, that would be great.

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# Homework Help: Closed-form expression of an infinite sum

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