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Mathematics
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zalm
  • Member for 4 years, 1 month
  • Last seen more than 4 years ago
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UC Berkeley Integral Problem: Show that $\int_0^{2\pi} \frac{\min(\sin x, \cos x)}{\max(e^{\sin x},e^{\cos x})}\ {\rm d}x = -4\sinh(1/{\sqrt2})$.
Jun 24, 2020
2
Evaluate $\sum_{n\geq1} \frac{(-1)^{n+1}H_n^2}{(n+1)^2}$.
Jun 18, 2020
2
Is there a nice way to represent $\sum_{n=1}^\infty \frac{(-1)^{n+1}H_n}{n+m+1}$?
Jun 19, 2020
1
How to compute $\sum_{n=1}^\infty \frac{H_{2n}^2}{n^2}$?
Jun 19, 2020
0
How can we derive the asymptotic expansion for the second derivative of the gamma-function?
Jun 27, 2020
0
Is there a nice way to represent $\prod_{m=1}^{2^{n-1}} \cos\left(2^{m-1} x\right)$?
Jul 4, 2020