# Upper bound for a gamma function

Let $n \in N$. How to find a non-asymptotic upper bound for $\Gamma(n)$ and $\Gamma(\frac n2+1)$?

Thank you

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Have you seen this article? –  Antonio Vargas Nov 19 '12 at 19:31
Antonio: thank you –  Peter Nov 19 '12 at 21:04

Equation 6.5.1 here gives a reasonably tight bound except for very small n. I suppose section 5.11 here also could be unpacked to yield some upper bounds, depending on exactly what you're looking for. (I assume you know that for integer n, $\Gamma(n) = (n-1)!$.)