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Results tagged with asymptotics
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user 35626
Asymptotic behavior of functions, asymptotic series and related topics
2
votes
Estimating a sum involving binomial coefficients [refined]
You can rewrite it as $$\frac{(m+q)!}{(m-q)!(q!)^2} \sum_{0\leq i \leq m-q} \frac{\binom{m}{i+q}\binom{m-q}{i}}{\binom{m+q}{i+q}}$$, but if W-Z gives a hypergeometric result as in Dima Pasechnik's an …
- 2,158
5
votes
bounded partitions and bounded signed partitions of integers
Since you include 0 and do not ask that the a_i are increasing with i, your questions
are morally equivalent to counting lattice points in the m dimensional plane
$n= \sum x_i,$ except you want those …
- 2,158