Gold 3

Elliptic integral

Gold ID

3

Link

https://sigir21.wmflabs.org/wiki/Elliptic_integral#math.53.6

Formula

$F(x;k)=u$

TeX Source

F(x;k) = u

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations

Semantic LaTeX

Translation

F(x;k) = u

Expected (Gold Entry)

\incellintFk@{\asin@{\Jacobiellsnk@@{u}{k}}}{k} = u

Mathematica

Translation

F[x ; k] == u

Expected (Gold Entry)

EllipticF[ArcSin[JacobiSN[u, (k)^2]], (k)^2] == u

Maple

Translation

F(x ; k) = u

Expected (Gold Entry)

EllipticF(JacobiSN(u, k), k) = u