Elliptic E

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If $m=k^2$ we define the complete elliptic integral of the second kind, $E$, to be $$E(k)=E(m)=\displaystyle\int_0^{\frac{\pi}{2}} \sqrt{1-k^2\sin^2 \theta} \mathrm{d}\theta.$$

See Also[edit]

Elliptic K
Incomplete Elliptic E

References[edit]

"Special Functions" by Leon Hall