DLMF:19.8#Ex22 (Q6236)

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DLMF:19.8#Ex22
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    Defining formula
    F ⁡ ( ϕ , k ) = ( 1 + k 1 ) ⁢ F ⁡ ( ψ 1 , k 1 ) , elliptic-integral-first-kind-F italic-ϕ 𝑘 1 subscript 𝑘 1 elliptic-integral-first-kind-F subscript 𝜓 1 subscript 𝑘 1 {\displaystyle{\displaystyle F\left(\phi,k\right)=(1+k_{1})F\left(\psi_{1},k_{% 1}\right),}}
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    DLMF id
    DLMF:19.8#Ex22
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