Elliptic E
From specialfunctionswiki
If $m=k^2$ we define the complete elliptic integral of the second kind, $E$, to be $$E(k)=E(m)=\displaystyle\int_0^{\frac{\pi}{2}} \sqrt{1-k^2\sin^2 \theta} \mathrm{d}\theta.$$
Plot of $E(m)$ on $[-10,1]$.
Domain coloring of $E$.
See Also
Elliptic K
Incomplete Elliptic E
