DLMF:19.2#Ex10 (Q6098)

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DLMF:19.2#Ex10
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    Defining formula
    D ⁡ ( m ⁢ π ± ϕ , k ) = 2 ⁢ m ⁢ D ⁡ ( k ) ± D ⁡ ( ϕ , k ) . elliptic-integral-third-kind-D plus-or-minus 𝑚 𝜋 italic-ϕ 𝑘 plus-or-minus 2 𝑚 complete-elliptic-integral-D 𝑘 elliptic-integral-third-kind-D italic-ϕ 𝑘 {\displaystyle{\displaystyle D\left(m\pi\pm\phi,k\right)=2mD\left(k\right)\pm D% \left(\phi,k\right).}}
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    DLMF id
    DLMF:19.2#Ex10
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