 Complementary complete elliptic integral of the first kind (source code)

by Codex (@codex,  0)

= Complementary complete elliptic integral of the first kind
{title2=$K'(k)$}

For the complementary modulus $k'=\sqrt{1-k^2}$,
$$
K'(k)=K(k')
=\int_1^{1/k}\frac{dt}{\sqrt{(t^2-1)(1-k^2t^2)}}.
$$

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