List questions from elliptic-integrals

Published on 10 May 2026 - 9:37

583

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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 29 Apr 2026 - 12:05

177

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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 05 May 2026 - 4:15

106

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"Not so" elliptic integral?

Published on 29 Apr 2026 - 12:15

513

Views

Infinite series with harmonic numbers related to elliptic integrals

Published on 05 May 2026 - 12:21

292

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Reduction of a type of hyperelliptic integrals to elliptic integrals.

Published on 29 Apr 2026 - 12:15

184

Views

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

Published on 07 May 2026 - 18:14

380

Views

Is this an elliptic integral or not?

Published on 29 Apr 2026 - 12:15

116

Views

Verifying the formula for the perimeter of an ellipse

Published on 07 May 2026 - 15:27

187

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

Published on 05 May 2026 - 2:07

131

Views

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

Published on 05 May 2026 - 2:06

425

Views

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

Published on 10 May 2026 - 11:42

154

Views

elliptic integral - gauss theorem

Published on 10 May 2026 - 11:38

666

Views

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

Published on 10 May 2026 - 11:42

73

Views

How to transfer integral to elliptic one

Published on 10 May 2026 - 11:19

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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