List questions from closed-form

Published on 18 Nov 2018 - 0:30

419

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Integral $\int_a^\infty \frac{\arctan(x+b)}{x^2+c}dx$

Published on 18 Nov 2018 - 18:00

117

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Nonlinear least squares with analytical solution

Published on 19 Nov 2018 - 10:02

316

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Prove $\sum_{k=1}^{\infty}\frac{(-1)^k}{(2k+1)^2}(2H_{2k}+H_k)=\frac{\pi^3}{32}-2G\ln2$

Published on 25 Mar 2026 - 4:42

26

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Closed form for $q_k(0,0)$ from recurrence

Published on 21 Nov 2018 - 3:20

91

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Closed form for $K(n)=[0;\overline{1,2,3,...,n}]$

Published on 25 Mar 2026 - 7:43

303

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Value of the J Invariant at $\frac{1+\sqrt{-163}}{2}$

Published on 26 Nov 2018 - 2:32

129

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Is there any known closed-form solutions to $y''yx+y'y-(y')^2x=x^3$?

Published on 26 Nov 2018 - 18:38

92

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About $ F(u) = \int_{-\pi/2}^{+\pi/2} \ln(g(x) + u) dx $

Published on 24 Mar 2026 - 22:01

538

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Is there a closed form for the sum of the cubes of the binomial coefficients?

Published on 28 Nov 2018 - 17:56

189

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Calculating $\sum\limits_{i=1}^{n-1}\sum\limits_{j=1}^{m-1} |mi-nj|$

Published on 30 Nov 2018 - 7:47

134

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$a_n=(n-1)a_{n-1}+a_{n-2}$

Published on 30 Nov 2018 - 23:49

101

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Is it possible to find a closed form for $x$?

Published on 03 Dec 2018 - 16:09

165

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Are there any non-trivial special values of $\operatorname{Li}_4(z)$?

Published on 25 Mar 2026 - 1:20

83

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closed form for $\sum_{n\geq1}\pi n\log\frac{4n+1}{4n-1}\prod_{k\geq1\\k\neq n}\frac{k^2}{k^2-n^2}$?

Published on 04 Dec 2018 - 18:34

List Question

Finding the definite integral $\int_1^e \frac{dx}{x\sqrt{1+\ln^2x}}$

Integral $\int_a^\infty \frac{\arctan(x+b)}{x^2+c}dx$

Nonlinear least squares with analytical solution

Prove $\sum_{k=1}^{\infty}\frac{(-1)^k}{(2k+1)^2}(2H_{2k}+H_k)=\frac{\pi^3}{32}-2G\ln2$

Closed form for $q_k(0,0)$ from recurrence

Closed form for $K(n)=[0;\overline{1,2,3,...,n}]$

Value of the J Invariant at $\frac{1+\sqrt{-163}}{2}$

Is there any known closed-form solutions to $y''yx+y'y-(y')^2x=x^3$?

About $ F(u) = \int_{-\pi/2}^{+\pi/2} \ln(g(x) + u) dx $

Is there a closed form for the sum of the cubes of the binomial coefficients?

Calculating $\sum\limits_{i=1}^{n-1}\sum\limits_{j=1}^{m-1} |mi-nj|$

$a_n=(n-1)a_{n-1}+a_{n-2}$

Is it possible to find a closed form for $x$?

Are there any non-trivial special values of $\operatorname{Li}_4(z)$?

closed form for $\sum_{n\geq1}\pi n\log\frac{4n+1}{4n-1}\prod_{k\geq1\\k\neq n}\frac{k^2}{k^2-n^2}$?

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