List questions from closed-form

Published on 18 Jun 2018 - 13:23

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Finding $C_n=4C_{n-1}+6n-1$

Published on 18 Jun 2018 - 14:10

48

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Finding $C_n=-C_{n-1}+C_{n-2}$

Published on 18 Jun 2018 - 14:54

464

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Alternate proof for weighted alternating shifted central binomial sum relation

Published on 21 Jun 2018 - 18:34

471

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What about the definite integral $\int_0^1\int_0^1\frac{(\operatorname{arctanh}(xy))(\arctan(xy))}{\log(xy)}\,dx\,dy$?

Published on 24 Jun 2018 - 18:07

781

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$\sum_{-\infty}^{+\infty}\frac{\exp(-n^2)}{1-4n^2}$ in closed form?

Published on 26 Jun 2018 - 19:50

71

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Closed form for a series involving exponential functions

Published on 27 Jun 2018 - 10:40

435

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What about of this integral involving the Gudermannian function $\int_0^\infty \frac{\operatorname{gd}(x)}{e^x-1}\mathrm dx$?

Published on 30 Jun 2018 - 22:42

185

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Closed form of $\int_0^{+\infty}\frac{x\pi}{x\pi+2\sinh(x\pi)} \, dx$

Published on 25 Mar 2026 - 7:45

62

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Can I get a closed form of this optimization problem?

Published on 25 Mar 2026 - 1:22

49

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Finding Close Form For Recurrence Relation

Published on 04 Jul 2018 - 8:48

3.3k

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Do all systems of differential equations have a solution?

Published on 25 Mar 2026 - 7:41

115

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$a_{n+1}=4a_n+n+1$ Find Closed Form

Published on 05 Jul 2018 - 15:44

112

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Closed form of $\sum_{k=0}^{\infty}r^{k^2}$

Published on 06 Jul 2018 - 1:42

304

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Is there a closed form for 0.9 * 0.99 * 0.999 * ...?

Published on 06 Jul 2018 - 18:13

List Question

Finding $C_n=2C_{n-1}+4$

Finding $C_n=4C_{n-1}+6n-1$

Finding $C_n=-C_{n-1}+C_{n-2}$

Alternate proof for weighted alternating shifted central binomial sum relation

What about the definite integral $\int_0^1\int_0^1\frac{(\operatorname{arctanh}(xy))(\arctan(xy))}{\log(xy)}\,dx\,dy$?

$\sum_{-\infty}^{+\infty}\frac{\exp(-n^2)}{1-4n^2}$ in closed form?

Closed form for a series involving exponential functions

What about of this integral involving the Gudermannian function $\int_0^\infty \frac{\operatorname{gd}(x)}{e^x-1}\mathrm dx$?

Closed form of $\int_0^{+\infty}\frac{x\pi}{x\pi+2\sinh(x\pi)} \, dx$

Can I get a closed form of this optimization problem?

Finding Close Form For Recurrence Relation

Do all systems of differential equations have a solution?

$a_{n+1}=4a_n+n+1$ Find Closed Form

Closed form of $\sum_{k=0}^{\infty}r^{k^2}$

Is there a closed form for 0.9 * 0.99 * 0.999 * ...?

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