List questions from closed-form

Published on 24 Oct 2016 - 10:54

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Integrals that have yet to be solved - are there any?

Published on 25 Mar 2026 - 23:37

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How to prove $\sum_{k=1}^\infty\frac{k^k}{k!}x^k=\frac{1}{2}$ where $x=\frac{1}{3}e^{-1/3}$

Published on 25 Oct 2016 - 8:06

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Closed form and limit of the sequence $a_{n+1}=\frac{-5a_n}{2n+1}$

Published on 26 Oct 2016 - 1:17

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Is the value of this integral expressible in closed form and which numerical status does it have?

Published on 27 Oct 2016 - 12:41

128

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Let $\sum_{n=0}^\infty \frac{(-1)^{n+1}}{3 n+6 (-1)^n}$, does it converge or does it diverge?

Published on 30 Oct 2016 - 8:58

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Closed form of a definite integral with exponentials and trigonometric functions

Published on 02 Nov 2016 - 17:48

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Finding closed formula for recurrence relation

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Closed form for $\int_0^e\mathrm{Li}_2(\ln{x})\,dx$?

Published on 27 Mar 2026 - 2:50

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Is there a general formula for $I(m,n)$?

Published on 05 Nov 2016 - 15:21

230

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The integral $\ J(m,n):=\int_0^1 \frac{x^m}{x^n+1}dx$

Published on 07 Nov 2016 - 12:31

68

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Closed form of recursive sequences

Published on 28 Mar 2026 - 2:48

119

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What is the closed form of :$\sum_{n=2}^{\infty }\frac{\tau(2^n-1)}{\phi(2^n-1)}$?

Published on 29 Mar 2026 - 3:37

411

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Does there exist closed-form solutions for calculations in the EM-algorithm for Gaussian Mixtures?

Published on 25 Mar 2026 - 9:48

2.5k

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Is the Risch-algorithm more powerful than the usual integration methods?

Published on 25 Mar 2026 - 23:34

List Question

How to calculate this double integral? (solution known)

Integrals that have yet to be solved - are there any?

How to prove $\sum_{k=1}^\infty\frac{k^k}{k!}x^k=\frac{1}{2}$ where $x=\frac{1}{3}e^{-1/3}$

Closed form and limit of the sequence $a_{n+1}=\frac{-5a_n}{2n+1}$

Is the value of this integral expressible in closed form and which numerical status does it have?

Let $\sum_{n=0}^\infty \frac{(-1)^{n+1}}{3 n+6 (-1)^n}$, does it converge or does it diverge?

Closed form of a definite integral with exponentials and trigonometric functions

Finding closed formula for recurrence relation

Closed form for $\int_0^e\mathrm{Li}_2(\ln{x})\,dx$?

Is there a general formula for $I(m,n)$?

The integral $\ J(m,n):=\int_0^1 \frac{x^m}{x^n+1}dx$

Closed form of recursive sequences

What is the closed form of :$\sum_{n=2}^{\infty }\frac{\tau(2^n-1)}{\phi(2^n-1)}$?

Does there exist closed-form solutions for calculations in the EM-algorithm for Gaussian Mixtures?

Is the Risch-algorithm more powerful than the usual integration methods?

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