Question

Getting a closed form of this recurrence

score 49 · Answer 1 · 2026-03-29 17:13:20

49

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Getting a closed form of this recurrence

Published on 29 Mar 2026 - 17:13

score 124 · Answer 2 · 2026-03-27 06:09:12

124

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Asymptotic of $I(x)=\int_{-\infty}^{x} \exp(-t^2 \operatorname {erfi}(t \sqrt{2\pi}) \operatorname {erf}(t \sqrt{2\pi})) dt$ for $x\to \infty$?

Published on 27 Mar 2026 - 6:09

score 241 · Answer 3 · 2019-12-10 19:15:21

241

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What's the generalization for $\zeta(2n)$?

Published on 10 Dec 2019 - 19:15

score 291 · Answer 4 · 2026-03-25 15:47:05

291

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Is there a closed form for this transcendental equation?

Published on 25 Mar 2026 - 15:47

score 708 · Answer 5 · 2026-03-28 08:29:57

708

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Evaluating $Q = \sqrt{1!+\sqrt{2!+\sqrt{3!+\dots}}}$

Published on 28 Mar 2026 - 8:29

score 257 · Answer 6 · 2026-03-26 02:47:39

257

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Is there a closed form for $3\cdot\frac{3}{\sqrt{6}}\cdot\frac{3}{\sqrt{6+\sqrt{6}}}\cdot\frac{3}{\sqrt{6+\sqrt{6+\sqrt{6}}}}\cdots$?

Published on 26 Mar 2026 - 2:47

score 61 · Answer 7 · 2026-03-29 04:44:00

61

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Close to the integer squares ?? $ f(x) = \sum_{n=1}^{\infty} g(n)^{-x} ,f(4 n) = \zeta(8 n) $

Published on 29 Mar 2026 - 4:44

score 67 · Answer 8 · 2019-12-16 01:25:48

67

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$\int_{0}^{\infty}\frac{x^{s}}{ax^{3}+bx^{2}+cx+d}dx$

Published on 16 Dec 2019 - 1:25

score 665 · Answer 9 · 2019-12-16 03:48:23

665

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Close-form for integral $T(n)=\int_0^{\pi/2}\frac{1}{1+\sin^n(x)}dx$

Published on 16 Dec 2019 - 3:48

score 120 · Answer 10 · 2019-12-16 23:12:29

120

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Closed form for $\prod_{k = 1}^{n} \sqrt{1 - \cos(a_k - b_k)}$?

Published on 16 Dec 2019 - 23:12

score 262 · Answer 11 · 2019-12-17 04:41:01

262

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Could this conjecture be proved ? (sum of even powers of cotangents in arithmetic progression )

Published on 17 Dec 2019 - 4:41

score 152 · Answer 12 · 2026-03-29 20:21:26

152

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Closed form of $\prod_{i=0}^{N}\big(i!\big)^{{N}\choose{i}}$

Published on 29 Mar 2026 - 20:21

score 356 · Answer 13 · 2026-03-27 02:35:52

356

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How to evaluate $\int_0^y\frac{\ln x\ln^2(1-x)}{x}dx$

Published on 27 Mar 2026 - 2:35

score 355 · Answer 14 · 2026-03-25 11:09:59

355

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Is there a closed form for the polygamma function?

Published on 25 Mar 2026 - 11:09

score 161 · Answer 15 · 2026-03-25 11:16:49

161

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Compute the $PV\int_0^{\frac{π}{3}}\frac{\cos (4x)}{\cos (3x)}dx$

Published on 25 Mar 2026 - 11:16

List Question

Getting a closed form of this recurrence

Asymptotic of $I(x)=\int_{-\infty}^{x} \exp(-t^2 \operatorname {erfi}(t \sqrt{2\pi}) \operatorname {erf}(t \sqrt{2\pi})) dt$ for $x\to \infty$?

What's the generalization for $\zeta(2n)$?

Is there a closed form for this transcendental equation?

Evaluating $Q = \sqrt{1!+\sqrt{2!+\sqrt{3!+\dots}}}$

Is there a closed form for $3\cdot\frac{3}{\sqrt{6}}\cdot\frac{3}{\sqrt{6+\sqrt{6}}}\cdot\frac{3}{\sqrt{6+\sqrt{6+\sqrt{6}}}}\cdots$?

Close to the integer squares ?? $ f(x) = \sum_{n=1}^{\infty} g(n)^{-x} ,f(4 n) = \zeta(8 n) $

$\int_{0}^{\infty}\frac{x^{s}}{ax^{3}+bx^{2}+cx+d}dx$

Close-form for integral $T(n)=\int_0^{\pi/2}\frac{1}{1+\sin^n(x)}dx$

Closed form for $\prod_{k = 1}^{n} \sqrt{1 - \cos(a_k - b_k)}$?

Could this conjecture be proved ? (sum of even powers of cotangents in arithmetic progression )

Closed form of $\prod_{i=0}^{N}\big(i!\big)^{{N}\choose{i}}$

How to evaluate $\int_0^y\frac{\ln x\ln^2(1-x)}{x}dx$

Is there a closed form for the polygamma function?

Compute the $PV\int_0^{\frac{π}{3}}\frac{\cos (4x)}{\cos (3x)}dx$

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