Let $p.r \in N$. Can one compute the sum of the following series $\sum_{k=1}^{\infty}\frac{{\lambda}^{p+rk}}{(p+rk)!}e^{-\lambda}?$
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In which context does this arise? – kjetil b halvorsen Feb 20 '15 at 13:16
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See my answer to this question. – Lucian Feb 20 '15 at 13:25
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Hint: Discrete Fourier transform. – Did Feb 20 '15 at 20:58
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Dear Lucian. Thank you very much. – Gogi Pantsulaia Feb 21 '15 at 07:19