DLMF:19.4#Ex2 (Q6120)

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DLMF:19.4#Ex2
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    Defining formula
    d ( E ⁡ ( k ) - k ′ 2 ⁢ K ⁡ ( k ) ) d k = k ⁢ K ⁡ ( k ) , derivative complete-elliptic-integral-second-kind-E 𝑘 superscript superscript 𝑘 ′ 2 complete-elliptic-integral-first-kind-K 𝑘 𝑘 𝑘 complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle\frac{\mathrm{d}(E\left(k\right)-{k^{\prime}}^{2}K% \left(k\right))}{\mathrm{d}k}=kK\left(k\right),}}
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    DLMF id
    DLMF:19.4#Ex2
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