DLMF:22.13.E17 (Q7068): Difference between revisions

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DLMF:22.13.E17
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    d 2 d z 2 sd ( z , k ) = ( k 2 - k 2 ) sd ( z , k ) - 2 k 2 k 2 sd 3 ( z , k ) , derivative 𝑧 2 Jacobi-elliptic-sd 𝑧 𝑘 superscript 𝑘 2 superscript superscript 𝑘 2 Jacobi-elliptic-sd 𝑧 𝑘 2 superscript 𝑘 2 superscript superscript 𝑘 2 Jacobi-elliptic-sd 3 𝑧 𝑘 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}}{{\mathrm{d}z}^{2}}% \operatorname{sd}\left(z,k\right)=(k^{2}-{k^{\prime}}^{2})\operatorname{sd}% \left(z,k\right)-2k^{2}{k^{\prime}}^{2}{\operatorname{sd}^{3}}\left(z,k\right)% ,}}
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    DLMF:22.13.E17
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