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Results tagged with asymptotics
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user 18263
Asymptotic behavior of functions, asymptotic series and related topics
10
votes
How many triangulations of the genus $g$ surface on $n$ vertices?
I don't think a nice asymptotic formula like the one you've mentioned from Tutte's work is available for higher $g$ to the best of my understanding; it is entirely possible that someone who regularly …
- 15.5k
2
votes
Is there an asymptotic formula for an inverse function of the binomial coefficient?
Too long to fit in a comment and render all the math correctly... but why can't we just expand out $f_k(n)$ to
$$ f_k(n) = \frac{n!}{n^k(n-k)!} = \prod_{j=1}^{k}\left(1-\frac{j-1}{n}\right) $$
Since …
- 15.5k