List questions from elliptic-integrals

Published on 24 May 2013 - 6:59

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How to compute complete elliptic integral of the first kind in explicit form using elementary functions?

Published on 30 May 2013 - 15:54

6.3k

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Derivative of the elliptic integral of the first kind

Published on 21 Jun 2013 - 15:43

450

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To find the limit of three terms mean iteration

Published on 12 Jul 2013 - 13:59

561

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Identity concerning complete elliptic integrals

Published on 13 Jul 2013 - 8:52

35

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Series Expansion of JacobiZeta in Both Arguments

Published on 13 Jul 2013 - 9:55

77

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Looking for examples where $f(z)=\operatorname{inv} \int_{0}^{z} g(z)\, dz$ with $f(z)$ entire and $g(z)$ not meromorphic.

Published on 13 Jul 2013 - 22:14

701

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Computing the inverse Jacobi function $\mathrm{arccd}$ with elliptic integrals

Published on 25 Jul 2013 - 7:33

1.1k

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A tricky integral (flux of a point charge through a disk)

Published on 13 Mar 2026 - 13:48

1k

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Separate incomplete elliptic integral into real and imaginary parts

Published on 04 Sep 2013 - 17:30

1.1k

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Simple pendulum: Rewriting integral in elliptic integral

Published on 12 Sep 2013 - 16:38

1.4k

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Can we express all doubly periodic functions as one of doubly periodic function?

Published on 19 Sep 2013 - 7:54

300

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Rewriting an elliptic integral

Published on 04 Oct 2013 - 11:42

729

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Simplify $\frac{_3F_2\left(\frac{1}{2},\frac{3}{4},\frac{5}{4};1,\frac{3}{2};\frac{3}{4}\right)}{\Pi\left(\frac{1}{4}\big|\frac{1}{\sqrt{3}}\right)}$

Published on 11 Oct 2013 - 16:52

259

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Difficulties with an elliptic integral (Ahlfors)

Published on 13 Oct 2013 - 19:51

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How to solve this integral

How to compute complete elliptic integral of the first kind in explicit form using elementary functions?

Derivative of the elliptic integral of the first kind

To find the limit of three terms mean iteration

Identity concerning complete elliptic integrals

Series Expansion of JacobiZeta in Both Arguments

Looking for examples where $f(z)=\operatorname{inv} \int_{0}^{z} g(z)\, dz$ with $f(z)$ entire and $g(z)$ not meromorphic.

Computing the inverse Jacobi function $\mathrm{arccd}$ with elliptic integrals

A tricky integral (flux of a point charge through a disk)

Separate incomplete elliptic integral into real and imaginary parts

Simple pendulum: Rewriting integral in elliptic integral

Can we express all doubly periodic functions as one of doubly periodic function?

Rewriting an elliptic integral

Simplify $\frac{_3F_2\left(\frac{1}{2},\frac{3}{4},\frac{5}{4};1,\frac{3}{2};\frac{3}{4}\right)}{\Pi\left(\frac{1}{4}\big|\frac{1}{\sqrt{3}}\right)}$

Difficulties with an elliptic integral (Ahlfors)

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