DLMF:19.5.E10 (Q6139)

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DLMF:19.5.E10
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    K ( k ) = π 2 m = 1 ( 1 + k m ) , complete-elliptic-integral-first-kind-K 𝑘 𝜋 2 superscript subscript product 𝑚 1 1 subscript 𝑘 𝑚 {\displaystyle{\displaystyle K\left(k\right)=\frac{\pi}{2}\prod_{m=1}^{\infty}% (1+k_{m}),}}
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