DLMF:19.7#Ex19 (Q6200)

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DLMF:19.7#Ex19
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    F ( i ϕ , k ) = i F ( ψ , k ) , elliptic-integral-first-kind-F 𝑖 italic-ϕ 𝑘 𝑖 elliptic-integral-first-kind-F 𝜓 superscript 𝑘 {\displaystyle{\displaystyle F\left(i\phi,k\right)=iF\left(\psi,k^{\prime}% \right),}}
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