List questions from closed-form

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Packing an infinite sequence of disks

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A closed form of the series $\sum_{n=1}^{\infty} \frac{H_n^2-(\gamma + \ln n)^2}{n}$

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Definite trigonometric integral

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Does $\int { y\cosh \left(\beta y^2\right)}J_0\left(\gamma y^2 \right) dy$ have a closed form

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Prove this polylogarithmic integral has the stated closed form value

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Constructing an indicator function from a braid group which represents 'all strings have returned to their initial position'.

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Closed form $\sum_{n=2}^{\infty} \frac{1}{\ln^n{n}}$ and $\sum_{n=2}^{\infty} \frac{n}{\ln^n{n}}$

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List Question

What is the closed form for $\sum_{n=1}^\infty \frac1n - \frac1{n+1/p}$?

Packing an infinite sequence of disks

A closed form of the series $\sum_{n=1}^{\infty} \frac{H_n^2-(\gamma + \ln n)^2}{n}$

Find a sequence

Identities involving adjoint action

The closed form of $\int_0^{\pi/4}\frac{\log(1-x) \tan^2(x)}{1-x\tan^2(x)} \ dx$

Definite trigonometric integral

Does $\int { y\cosh \left(\beta y^2\right)}J_0\left(\gamma y^2 \right) dy$ have a closed form

Prove this polylogarithmic integral has the stated closed form value

Constructing an indicator function from a braid group which represents 'all strings have returned to their initial position'.

Closed form $\sum_{n=2}^{\infty} \frac{1}{\ln^n{n}}$ and $\sum_{n=2}^{\infty} \frac{n}{\ln^n{n}}$

Find a closed form for the generating function for this sequence

Closed form for the recursion $\displaystyle u_n=\sum_{k=0}^{n-1} u_ku_{n-1-k}$

Derivative of a generalized hypergeometric function

A closed form of $\int_0^1\frac{\ln\ln\left({1}/{x}\right)}{x^2-x+1}\mathrm dx$

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