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Mathematics
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xuce1234
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question
12
A conjecture formula: $\sum\limits_{n=1}^\infty \frac{\binom{mn}{n}}{n}\left(\frac{(m-1)^{m-1}}{m^m} \right)^n=m\log\left(\frac{m}{m-1}\right)$
Jun 29, 2019
question
4
The closed form representations of Integrals of logarithm functions
Jan 11, 2019
question
3
Closed form for $\sum_{n=1}^\infty \frac{4^n}{n^p\binom{2n}{n}}$
Jun 3, 2019
question
3
Two Euler type sums involving binomial coefficient and harmonic number
Jun 4, 2019
question
3
Does $\sum_{k = 1}^{n-1} \frac{\binom{2k}{k}\binom{2n-2k}{n-k}}{k(n-k)}$ have a simpler expression?
Jan 20, 2021
question
2
A limit of combination
Nov 6, 2018
question
2
A closed form of $q$-analog finite sum
Mar 1, 2019
question
2
A series involving binomial coefficient and harmonic number
Jun 3, 2019
question
2
Generating function of series $\sum\limits_{n=1}^\infty H_n^{(m)}\binom{2n}{n}x^n$?
Sep 4, 2019
question
2
Generating function of some Apéry's series
Mar 24, 2021