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esg
  • Member for 12 years
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Top posts

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24
Binomial again, and again
Nov 18, 2016
20
Asymptotic expansion of $\sum\limits_{n=1}^{\infty} \frac{x^{2n+1}}{n!{\sqrt{n}} }$
Apr 2, 2017
14
Integral $\int_0^1 \int_0^1 \cdots \int_0^1\frac{x_{1}^2+x_{2}^2+\cdots+x_{n}^2}{x_{1}+x_{2}+\cdots+x_{n}}dx_{1}\, dx_{2}\cdots \, dx_{n}=?$
Dec 22, 2017
11
What's the summation of formal series $\sum_{n\geq0}\binom{n\delta}{n}x^n$？
Nov 16, 2017
8
Birthday problem with unequal probability: expected number of draws before the $m$-th collision?
Mar 4, 2017
8
Expected supremum of average?
Oct 20, 2017
8
The number of ways to merge a permutation with itself
Nov 11, 2020
7
Eigenvalues of a matrix with entries involving combinatorics
Nov 29, 2016
7
Comparing two power-series
Jul 27, 2021
7
Alternative proofs sought after for a certain identity
Dec 19, 2020

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6
Borel $\sigma$-algebras on the Skorohod space $D[0,1]$