List questions from elliptic-integrals

Published on 13 Oct 2013 - 22:46

223

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how do i give upper and lower limits to an elliptical integral---

Published on 15 Oct 2013 - 14:50

436

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Closed-form expression for an iterated integral

Published on 22 Oct 2013 - 19:21

596

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Indefinite integral $\int \arcsin \left(k\sin x\right) dx$

Published on 06 Nov 2013 - 15:55

451

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Elliptic Integrals of the First Kind

Published on 11 Nov 2013 - 21:40

894

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Conjectured closed form for $\int_0^1x^{2\,q-1}\,K(x)^2dx$ where $K(x)$ is the complete elliptic integral of the 1ˢᵗ kind

Published on 15 Nov 2013 - 21:38

7.4k

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Jacobian of an ellipse

Published on 16 Nov 2013 - 18:57

109

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How to compute the arc length of $f(x) = ax + b \sin(x)$.

Published on 18 Nov 2013 - 10:45

227

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Understanding why $\int_0^{\pi/2} \sqrt{1+\cos^2x} \geq \frac{\pi}{4}\bigl( 1 + \sqrt{2}\bigr)$

Published on 09 Dec 2013 - 22:41

5.2k

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How to compute elliptic integrals in MATLAB

Published on 05 Jan 2014 - 13:20

1.8k

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Heuman Lambda Function in MATLAB

Published on 05 Jan 2014 - 17:23

5.8k

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Closed form integral $\int_b^c \frac{x^2}{\sqrt{(x-a)(x-b)(c-x)(d-x)}} dx$

Published on 09 Feb 2014 - 6:54

204

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Evaluation of $A$ in $2K(\sqrt{x}) = -\log(1 - x) + A + o(1)$ when $x \to 1^{-}$

Published on 09 Feb 2014 - 8:07

438

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Closed form double integral $ \int_{a}^{c}dr \int_{b}^{d} dr' \, \frac{r r'}{\sqrt{(r - a)(r' - b)(r-c)(r'-d)}} \frac{r_<^{\ell}}{r_>^{\ell+1}}$

Published on 10 Feb 2014 - 19:28

345

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A general solution to the sine-gordon equation (with only time dependence)

Published on 15 Feb 2014 - 18:36

List Question

Show that $K=K'$ if and only if $k=(\sqrt{2}-1)^2$ (Ahlfors)

how do i give upper and lower limits to an elliptical integral---

Closed-form expression for an iterated integral

Indefinite integral $\int \arcsin \left(k\sin x\right) dx$

Elliptic Integrals of the First Kind

Conjectured closed form for $\int_0^1x^{2\,q-1}\,K(x)^2dx$ where $K(x)$ is the complete elliptic integral of the 1ˢᵗ kind

Jacobian of an ellipse

How to compute the arc length of $f(x) = ax + b \sin(x)$.

Understanding why $\int_0^{\pi/2} \sqrt{1+\cos^2x} \geq \frac{\pi}{4}\bigl( 1 + \sqrt{2}\bigr)$

How to compute elliptic integrals in MATLAB

Heuman Lambda Function in MATLAB

Closed form integral $\int_b^c \frac{x^2}{\sqrt{(x-a)(x-b)(c-x)(d-x)}} dx$

Evaluation of $A$ in $2K(\sqrt{x}) = -\log(1 - x) + A + o(1)$ when $x \to 1^{-}$

Closed form double integral $ \int_{a}^{c}dr \int_{b}^{d} dr' \, \frac{r r'}{\sqrt{(r - a)(r' - b)(r-c)(r'-d)}} \frac{r_<^{\ell}}{r_>^{\ell+1}}$

A general solution to the sine-gordon equation (with only time dependence)

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