DLMF:19.6#Ex14 (Q6156)

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DLMF:19.6#Ex14
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    Defining formula
    F ⁡ ( 1 2 ⁢ π , k ) = K ⁡ ( k ) , elliptic-integral-first-kind-F 1 2 𝜋 𝑘 complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle F\left(\tfrac{1}{2}\pi,k\right)=K\left(k\right),}}
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    DLMF id
    DLMF:19.6#Ex14
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