List questions from elliptic-integrals

Published on 22 Mar 2026 - 7:15

577

Views

The integral of an elliptic integral: $\int_{0}^{1}\frac{x\mathbf{K}^2\left ( x \right )}{\sqrt{1-x^{2}}}\mathrm{d}x$

Published on 19 Mar 2026 - 17:27

170

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Closed form of Integral of ellipticK and log using Mellin transform? $\int_{0}^4 K(1-u^2) \log[1+u z] \frac{du}{u}$

Published on 20 Mar 2026 - 6:09

97

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"Not so" elliptic integral?

Published on 22 Mar 2026 - 3:16

504

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Infinite series with harmonic numbers related to elliptic integrals

Published on 20 Mar 2026 - 14:24

286

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Reduction of a type of hyperelliptic integrals to elliptic integrals.

Published on 20 Mar 2026 - 7:23

176

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Finding $\int\frac{x^2-1}{\sqrt{x^4+x^2+1}}$

Published on 19 Mar 2026 - 21:05

375

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Is this an elliptic integral or not?

Published on 23 Mar 2026 - 2:59

108

Views

Verifying the formula for the perimeter of an ellipse

Published on 19 Mar 2026 - 17:38

180

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Jacobi form to Weierstrass form . . . lattices included .... polynomial factoring in the way

Published on 22 Mar 2026 - 10:44

126

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Can this integral be reduced to an elliptic integral, or to anything else that is easier to evaluate?

Published on 22 Mar 2026 - 22:15

419

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True value of $\int_0^{\pi/2}\frac{dx}{(1-2\sin^2 x)\sqrt{1-4\sin^2 x}}$

Published on 24 Mar 2026 - 17:33

145

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elliptic integral - gauss theorem

Published on 23 Mar 2026 - 20:49

657

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On the asymptotic behavior of the Fourier coefficients of $(1-R\cos\theta)^{-3/2}$

Published on 24 Mar 2026 - 7:17

64

Views

How to transfer integral to elliptic one

Published on 24 Mar 2026 - 17:15

List Question

Evaluation of Integral $\int \frac{x^2+1}{\sqrt{x^3+3}}dx$

The integral of an elliptic integral: $\int_{0}^{1}\frac{x\mathbf{K}^2\left ( x \right )}{\sqrt{1-x^{2}}}\mathrm{d}x$

Closed form of Integral of ellipticK and log using Mellin transform? $\int_{0}^4 K(1-u^2) \log[1+u z] \frac{du}{u}$

"Not so" elliptic integral?

Infinite series with harmonic numbers related to elliptic integrals

Reduction of a type of hyperelliptic integrals to elliptic integrals.

Finding $\int\frac{x^2-1}{\sqrt{x^4+x^2+1}}$

Is this an elliptic integral or not?

Verifying the formula for the perimeter of an ellipse

Jacobi form to Weierstrass form . . . lattices included .... polynomial factoring in the way

Can this integral be reduced to an elliptic integral, or to anything else that is easier to evaluate?

True value of $\int_0^{\pi/2}\frac{dx}{(1-2\sin^2 x)\sqrt{1-4\sin^2 x}}$

elliptic integral - gauss theorem

On the asymptotic behavior of the Fourier coefficients of $(1-R\cos\theta)^{-3/2}$

How to transfer integral to elliptic one

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