List questions from elliptic-integrals

Published on 28 Sep 2021 - 20:49

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How to prove that this series sums to an elliptic integral?

Published on 01 Oct 2021 - 10:55

286

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Conjectured identity involving an elliptic integral and a Bessel function

Published on 04 Oct 2021 - 13:15

149

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Zeros of Jacobi elliptic functions

Published on 27 Mar 2026 - 21:17

46

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Is the following integral linked with the elliptic integrals?

Published on 10 Oct 2021 - 15:31

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Solve the elliptic integral $\int \frac1{\sqrt{C-x^2+\frac{x^4}2}}$ as the solution to $\ddot x + x - x^3 = 0.$

Published on 27 Mar 2026 - 5:38

114

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Definite integral with square roots

Published on 14 Oct 2021 - 15:35

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Find the arc length $\int_ 0 ^{4\pi} r(t)=3\cos ti+4\sin tkj+tk$

Published on 15 Oct 2021 - 19:13

38

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How to show Elliptic integral equality?

Published on 18 Oct 2021 - 18:26

96

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Integrating the square root of a trigonometric polynomial

Published on 22 Oct 2021 - 3:29

168

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Connection between elliptic integrals and theta functions

Published on 26 Mar 2026 - 17:43

131

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Convert elliptic: $F\left(\sin^{-1}\left(\sqrt{\frac{R}{R+2}}\right)\biggr\rvert 1-\frac{4}{R^2}\right)$ to complete: $K\left(1-\frac{4}{R^2}\right)$

Published on 04 Nov 2021 - 21:01

140

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Evaluate the elliptic integral $ \int_{0}^{\infty} \frac{dx}{\sqrt{112+21x^2+x^4}}$

Published on 06 Nov 2021 - 3:13

136

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Arithmetic mean geometric mean 2d map

Published on 16 Nov 2021 - 20:45

52

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An integral including the complete elliptic integral

Published on 23 Nov 2021 - 21:37

List Question

Calculating ellipse arc length via elliptic integral

How to prove that this series sums to an elliptic integral?

Conjectured identity involving an elliptic integral and a Bessel function

Zeros of Jacobi elliptic functions

Is the following integral linked with the elliptic integrals?

Solve the elliptic integral $\int \frac1{\sqrt{C-x^2+\frac{x^4}2}}$ as the solution to $\ddot x + x - x^3 = 0.$

Definite integral with square roots

Find the arc length $\int_ 0 ^{4\pi} r(t)=3\cos ti+4\sin tkj+tk$

How to show Elliptic integral equality?

Integrating the square root of a trigonometric polynomial

Connection between elliptic integrals and theta functions

Convert elliptic: $F\left(\sin^{-1}\left(\sqrt{\frac{R}{R+2}}\right)\biggr\rvert 1-\frac{4}{R^2}\right)$ to complete: $K\left(1-\frac{4}{R^2}\right)$

Evaluate the elliptic integral $ \int_{0}^{\infty} \frac{dx}{\sqrt{112+21x^2+x^4}}$

Arithmetic mean geometric mean 2d map

An integral including the complete elliptic integral

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