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Prove that the quantity is an integer

Oct 7, 2018

Euler-Mascheroni constant in Bessel function integral

Jun 10, 2022

Prove $\sum_{n=1}^{\infty} \arctan\left(\frac{1}{F_n}\right) \arctan\left(\frac{1}{F_{n+1}}\right)=\frac{\pi^2}{8}$

Apr 4, 2021

Integral of Binomial Coefficient

Sep 26, 2018

Evaluate $\lim\limits_{n \to \infty}\frac{(-1)^n}{n!}\int_0^n (x-1)(x-2)\cdots(x-n){\rm d}x$

Jul 4, 2020

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A "binomial" generalization of harmonic numbers

May 19, 2019

Integrate $\int_a^\infty\frac{\sqrt{x^2-a^2}}{\sinh x}\,dx$

Jul 8, 2019

Number of independent values among $\{\Gamma(k/n):0<k<n/2\}$

Feb 12, 2021

On $\lim_{n\to\infty}b_n/a_n$ where $\exp(\sum_{n=1}^\infty a_n z^n)=1+\sum_{n=1}^\infty b_n z^n$

Apr 4, 2021

The greatest measure of an orthogonal projection of an $n$-parallelepiped onto a $d$-dimensional affine subspace

Mar 26, 2020

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+10

Is there a compact form of $\frac{2}{n+1}\sum_{k=1}^n\frac{\sin^2(\pi jk/(n+1))}{z-2\cos(\pi k/(n+1))}$ in terms of $z$, $n$, $j$?

+15

Differentiability of a power series.

+10

Contour integral of $\int_{-\infty}^{\infty} \frac{1-\cos( \omega )}{\omega^2(a^2 + \omega^2)}d\omega$

+10

A "binomial" generalization of harmonic numbers

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