DLMF:19.8#Ex17 (Q6231)

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DLMF:19.8#Ex17
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    Defining formula
    F ⁡ ( ϕ , k ) = 2 1 + k ⁢ F ⁡ ( ϕ 2 , k 2 ) , elliptic-integral-first-kind-F italic-ϕ 𝑘 2 1 𝑘 elliptic-integral-first-kind-F subscript italic-ϕ 2 subscript 𝑘 2 {\displaystyle{\displaystyle F\left(\phi,k\right)=\frac{2}{1+k}F\left(\phi_{2}% ,k_{2}\right),}}
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    DLMF id
    DLMF:19.8#Ex17
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