DLMF:19.2#Ex9 (Q6097)

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DLMF:19.2#Ex9
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    Defining formula
    E ⁡ ( m ⁢ π ± ϕ , k ) = 2 ⁢ m ⁢ E ⁡ ( k ) ± E ⁡ ( ϕ , k ) , elliptic-integral-second-kind-E plus-or-minus 𝑚 𝜋 italic-ϕ 𝑘 plus-or-minus 2 𝑚 complete-elliptic-integral-second-kind-E 𝑘 elliptic-integral-second-kind-E italic-ϕ 𝑘 {\displaystyle{\displaystyle E\left(m\pi\pm\phi,k\right)=2mE\left(k\right)\pm E% \left(\phi,k\right),}}
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    DLMF id
    DLMF:19.2#Ex9
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