Incomplete Elliptic K

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The incomplete elliptic integral of the first kind is $$K(\phi |k) = K(\phi |m) = \displaystyle\int_0^{\phi} \dfrac{1}{\sqrt{1-k^2\sin^2 \theta}} d\theta.$$

See Also[edit]

Elliptic K
Incomplete Elliptic E

References[edit]

"Special Functions" by Leon Hall