List questions from closed-form

Published on 01 Apr 2026 - 22:47

55

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Closed form for $A=\lim_{k \to \infty} \sum_{0<a^2 + 17 b^2 < k} \frac{1}{a^2 + 17 b^2} - \sum_{k<a^2 + 17 b^2 < k^2} \frac{1}{a^2 + 17 b^2}$?

Published on 29 Mar 2026 - 8:45

350

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An integral related to Gamma value.

Published on 26 Mar 2026 - 9:39

66

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Closed formula for $\sum_{k=0}^{\lfloor n/2\rfloor} x^k\binom{n-k}{k}$

Published on 30 Mar 2026 - 10:40

112

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How can we evaluate this integral? $\displaystyle{\int_0^{\pi/2}x\tan^{n}(x)\ dx}$

Published on 30 Jun 2023 - 5:13

122

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Closed form for $\sqrt{x +\sqrt{x^2+\sqrt{x^3+\cdots}}}$

Published on 30 Jun 2023 - 6:58

117

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A question about integrals of the form $\int_{0}^{a}\frac{x}{\sin(x)}\,\mathrm dx$

Published on 01 Jul 2023 - 2:26

40

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Closed formed expression of an integral involving product of two hypergeometric function

Published on 30 Mar 2026 - 6:46

478

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Hilbert's 13th problem and the reduced septic $x^7+(x+p)(x+q)(x+r)=0$?

Published on 02 Jul 2023 - 1:53

544

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A closed form for a triple integral involving Heron's formula

Published on 26 Mar 2026 - 11:04

76

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Does a closed form for this integral exist?

Published on 25 Mar 2026 - 21:44

103

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Generalization of Gauss multiplication formula for $\Gamma(jm+kn+a);j,k\in\Bbb N$?

Published on 26 Mar 2026 - 4:53

50

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Closed form for $\int_0^{\infty} \frac{e^{-xt}\: t^{s-1}}{\sqrt{1-4at^2}}\: dt$.

Published on 07 Jul 2023 - 9:41

63

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Does anyone have a nicer closed formula for the Cantor function?

Published on 27 Mar 2026 - 10:44

200

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Triple integral of the great-circle distance function

Published on 25 Mar 2026 - 15:46

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Asymptotics for this limit iteration with $f(x)= 2x + x^5 ,g(x) = x + x^3$

Closed form for $A=\lim_{k \to \infty} \sum_{0<a^2 + 17 b^2 < k} \frac{1}{a^2 + 17 b^2} - \sum_{k<a^2 + 17 b^2 < k^2} \frac{1}{a^2 + 17 b^2}$?

An integral related to Gamma value.

Closed formula for $\sum_{k=0}^{\lfloor n/2\rfloor} x^k\binom{n-k}{k}$

How can we evaluate this integral? $\displaystyle{\int_0^{\pi/2}x\tan^{n}(x)\ dx}$

Closed form for $\sqrt{x +\sqrt{x^2+\sqrt{x^3+\cdots}}}$

A question about integrals of the form $\int_{0}^{a}\frac{x}{\sin(x)}\,\mathrm dx$

Closed formed expression of an integral involving product of two hypergeometric function

Hilbert's 13th problem and the reduced septic $x^7+(x+p)(x+q)(x+r)=0$?

A closed form for a triple integral involving Heron's formula

Does a closed form for this integral exist?

Generalization of Gauss multiplication formula for $\Gamma(jm+kn+a);j,k\in\Bbb N$?

Closed form for $\int_0^{\infty} \frac{e^{-xt}\: t^{s-1}}{\sqrt{1-4at^2}}\: dt$.

Does anyone have a nicer closed formula for the Cantor function?

Triple integral of the great-circle distance function

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