Function $n(s)$ is given implicitly as $n! = s$. How can I find an asymptotic for $n(s)$? I cannot understand, how can I make an explicit function from this to calculate an asymptotic, as there is no reverse operation for factorial (I mean, like root is reversal to pow, and so on).
Asymptotic for implicitly given function
2
$\begingroup$
asymptotics
-
0See [here](http://mathoverflow.net/questions/12828/inverse-gamma-function). – 2012-10-06