DLMF:19.8#Ex18 (Q6232)

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DLMF:19.8#Ex18
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    E ( ϕ , k ) = ( 1 + k ) E ( ϕ 2 , k 2 ) + ( 1 - k ) F ( ϕ 2 , k 2 ) - k sin ϕ . elliptic-integral-second-kind-E italic-ϕ 𝑘 1 𝑘 elliptic-integral-second-kind-E subscript italic-ϕ 2 subscript 𝑘 2 1 𝑘 elliptic-integral-first-kind-F subscript italic-ϕ 2 subscript 𝑘 2 𝑘 italic-ϕ {\displaystyle{\displaystyle E\left(\phi,k\right)=(1+k)E\left(\phi_{2},k_{2}% \right)+(1-k)F\left(\phi_{2},k_{2}\right)-k\sin\phi.}}
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    DLMF:19.8#Ex18
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