Question

Complete elliptic integral $K(k) $ for $k>1$

score 758 · Answer 1 · 2018-11-06 07:21:20

758

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Complete elliptic integral $K(k) $ for $k>1$

Published on 06 Nov 2018 - 7:21

score 243 · Answer 2 · 2018-11-15 21:30:19

243

Views

Addition formula for $\text{sn}(u)=\text{sn}(u,k)$

Published on 15 Nov 2018 - 21:30

score 311 · Answer 3 · 2018-12-11 08:04:23

311

Views

Solving the nonlinear differential equation $ m \ddot x +\alpha x + \beta x^3 = 0$

Published on 11 Dec 2018 - 8:04

score 47 · Answer 4 · 2026-03-24 22:07:38

47

Views

How can the following be transformed in to a sum of complete elliptic integrals of the first and second kind

Published on 24 Mar 2026 - 22:07

score 336 · Answer 5 · 2018-12-13 20:06:01

336

Views

Evaluating the integral $\int_0^{\pi/4}\sqrt{1-16\sin^2(x)}\mathop{}\!\mathrm dx$

Published on 13 Dec 2018 - 20:06

score 259 · Answer 6 · 2026-03-25 01:18:24

259

Views

Closed form of an improper integral to solve the period of a dynamical system

Published on 25 Mar 2026 - 1:18

score 300 · Answer 7 · 2018-12-25 19:29:08

300

Views

Numerical Calculation for Inverse Complete Elliptic Integral of The First Kind?

Published on 25 Dec 2018 - 19:29

score 561 · Answer 8 · 2019-01-18 13:41:48

561

Views

Integral $\int_{\sqrt{33}}^\infty\frac{dx}{\sqrt{x^3-11x^2+11x+121}}$

Published on 18 Jan 2019 - 13:41

score 742 · Answer 9 · 2019-02-11 10:51:00

742

Views

How to reduce an integral with square root of cubic function into an elliptic integral

Published on 11 Feb 2019 - 10:51

score 369 · Answer 10 · 2019-02-16 03:34:16

369

Views

Asymptotic expansion of $\int_0^1 \frac{\operatorname{K}(r x)}{\sqrt{(1-r^2 x^2)(1-x^2)}} \, \mathrm{d} x $

Published on 16 Feb 2019 - 3:34

score 134 · Answer 11 · 2019-02-24 19:45:41

134

Views

How do I integrate the equation of a ellipse?

Published on 24 Feb 2019 - 19:45

score 641 · Answer 12 · 2019-02-25 17:44:32

641

Views

Hyperelliptic function addition formula

Published on 25 Feb 2019 - 17:44

score 298 · Answer 13 · 2019-02-28 02:35:48

298

Views

Asymptotic expression for the complete Elliptic integral of the first kind

Published on 28 Feb 2019 - 2:35

score 337 · Answer 14 · 2019-03-04 10:49:35

337

Views

About the product of two Elliptic integrals

Published on 04 Mar 2019 - 10:49

score 160 · Answer 15 · 2019-03-09 18:00:02

160

Views

Incomplete elliptic integral and Jacobi's form

Published on 09 Mar 2019 - 18:00

List Question

Complete elliptic integral $K(k) $ for $k>1$

Addition formula for $\text{sn}(u)=\text{sn}(u,k)$

Solving the nonlinear differential equation $ m \ddot x +\alpha x + \beta x^3 = 0$

How can the following be transformed in to a sum of complete elliptic integrals of the first and second kind

Evaluating the integral $\int_0^{\pi/4}\sqrt{1-16\sin^2(x)}\mathop{}\!\mathrm dx$

Closed form of an improper integral to solve the period of a dynamical system

Numerical Calculation for Inverse Complete Elliptic Integral of The First Kind?

Integral $\int_{\sqrt{33}}^\infty\frac{dx}{\sqrt{x^3-11x^2+11x+121}}$

How to reduce an integral with square root of cubic function into an elliptic integral

Asymptotic expansion of $\int_0^1 \frac{\operatorname{K}(r x)}{\sqrt{(1-r^2 x^2)(1-x^2)}} \, \mathrm{d} x $

How do I integrate the equation of a ellipse?

Hyperelliptic function addition formula

Asymptotic expression for the complete Elliptic integral of the first kind

About the product of two Elliptic integrals

Incomplete elliptic integral and Jacobi's form

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