DLMF:19.7#Ex9 (Q6190)

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DLMF:19.7#Ex9
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    Defining formula
    F ⁡ ( ϕ , k 1 ) = k ⁢ F ⁡ ( β , k ) , elliptic-integral-first-kind-F italic-ϕ subscript 𝑘 1 𝑘 elliptic-integral-first-kind-F 𝛽 𝑘 {\displaystyle{\displaystyle F\left(\phi,k_{1}\right)=kF\left(\beta,k\right),}}
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    DLMF id
    DLMF:19.7#Ex9
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