Question

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

score 543 · Answer 1 · 2023-07-05 02:12:58

543

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

Published on 05 Jul 2023 - 2:12

score 121 · Answer 2 · 2023-07-18 12:26:34

121

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Series related to $\,_{2p+1}F_{2p}\left(\left\{\frac{a}{2}\right\}_{2p-1},a,\frac12;a+\frac{1}{2},\left\{1+\frac{a}{2}\right\}_{2p-1};1\right)$

Published on 18 Jul 2023 - 12:26

score 21 · Answer 3 · 2023-07-21 09:38:46

21

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B-cycle integral with multi-valued function

Published on 21 Jul 2023 - 9:38

score 299 · Answer 4 · 2023-08-05 10:09:34

299

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Conjectured closed forms for Eisenstein-like series

Published on 05 Aug 2023 - 10:09

score 84 · Answer 5 · 2023-08-15 14:13:10

84

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Trasformation of elliptic integral $\Pi(n;x|m)$ in function of $F(x|m)$ and $E(x|m)$

Published on 15 Aug 2023 - 14:13

score 482 · Answer 6 · 2026-03-26 02:49:00

482

Views

Finding a closed form for the series $\sum_{n=0}^{\infty}\frac{\binom{2n}{n}^3}{64^n(n+1)^k}$ for $k=1,2,3,4$

Published on 26 Mar 2026 - 2:49

score 151 · Answer 7 · 2023-09-01 04:40:04

151

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Elliptic Integrals involving square roots of polynomial of fourth order

Published on 01 Sep 2023 - 4:40

score 120 · Answer 8 · 2023-09-06 14:59:56

120

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Evaluation or simplification of $\displaystyle{\int_0^{\frac{\pi}{4}}}\dfrac{dx}{\sqrt{A-\cos x-Bx}}$

Published on 06 Sep 2023 - 14:59

score 131 · Answer 9 · 2026-02-23 15:14:06

131

Views

Aircraft Wing Analysis - Elliptical Pressure Distribution

Published on 23 Feb 2026 - 15:14

score 79 · Answer 10 · 2023-09-17 03:40:01

79

Views

Requesting clarification of Galois' last letter

Published on 17 Sep 2023 - 3:40

score 88 · Answer 11 · 2023-09-28 19:54:50

88

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Solving the Elliptic Integral of the First Kind with Imaginary Moduli

Published on 28 Sep 2023 - 19:54

score 986 · Answer 12 · 2023-09-29 12:14:36

986

Views

Prove $\int_{0}^{1}\frac1k K(k)\ln\left[\frac{\left(1+k \right)^3}{1-k} \right]\text{d}k=\frac{\pi^3}{4}$

Published on 29 Sep 2023 - 12:14

score 420 · Answer 13 · 2023-09-30 17:33:55

420

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Given algebraic $a$, find the closed form of $\int_0^a \dfrac{dx}{\sqrt{1-x^4}}$

Published on 30 Sep 2023 - 17:33

score 194 · Answer 14 · 2023-10-02 21:56:14

194

Views

Minimal polynomial of $\operatorname{cd}\frac{4K}{n}$

Published on 02 Oct 2023 - 21:56

score 252 · Answer 15 · 2023-10-03 12:54:30

252

Views

Finding $p\cdot K\left(s\right)E\left(s\right)+q\cdot K\left(s\right)^{2}$ such that it is a known constant

Published on 03 Oct 2023 - 12:54

List Question

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

Series related to $\,_{2p+1}F_{2p}\left(\left\{\frac{a}{2}\right\}_{2p-1},a,\frac12;a+\frac{1}{2},\left\{1+\frac{a}{2}\right\}_{2p-1};1\right)$

B-cycle integral with multi-valued function

Conjectured closed forms for Eisenstein-like series

Trasformation of elliptic integral $\Pi(n;x|m)$ in function of $F(x|m)$ and $E(x|m)$

Finding a closed form for the series $\sum_{n=0}^{\infty}\frac{\binom{2n}{n}^3}{64^n(n+1)^k}$ for $k=1,2,3,4$

Elliptic Integrals involving square roots of polynomial of fourth order

Evaluation or simplification of $\displaystyle{\int_0^{\frac{\pi}{4}}}\dfrac{dx}{\sqrt{A-\cos x-Bx}}$

Aircraft Wing Analysis - Elliptical Pressure Distribution

Requesting clarification of Galois' last letter

Solving the Elliptic Integral of the First Kind with Imaginary Moduli

Prove $\int_{0}^{1}\frac1k K(k)\ln\left[\frac{\left(1+k \right)^3}{1-k} \right]\text{d}k=\frac{\pi^3}{4}$

Given algebraic $a$, find the closed form of $\int_0^a \dfrac{dx}{\sqrt{1-x^4}}$

Minimal polynomial of $\operatorname{cd}\frac{4K}{n}$

Finding $p\cdot K\left(s\right)E\left(s\right)+q\cdot K\left(s\right)^{2}$ such that it is a known constant

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