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Is it possible to get an analytical expression as a function of the positive real number $a>1$ for

$$ \sum_{n=1}^\infty \frac{a^n}{n!\sqrt{n}} $$

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  • $\begingroup$ Mathematica returns no closed form expression so I would assume not $\endgroup$
    – JB1
    Commented Jun 28, 2017 at 2:35

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