DLMF:22.13.E14 (Q7065)

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DLMF:22.13.E14
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    d 2 d z 2 cn ( z , k ) = - ( k 2 - k 2 ) cn ( z , k ) - 2 k 2 cn 3 ( z , k ) , derivative 𝑧 2 Jacobi-elliptic-cn 𝑧 𝑘 superscript superscript 𝑘 2 superscript 𝑘 2 Jacobi-elliptic-cn 𝑧 𝑘 2 superscript 𝑘 2 Jacobi-elliptic-cn 3 𝑧 𝑘 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}}{{\mathrm{d}z}^{2}}% \operatorname{cn}\left(z,k\right)=-({k^{\prime}}^{2}-k^{2})\operatorname{cn}% \left(z,k\right)-2k^{2}{\operatorname{cn}^{3}}\left(z,k\right),}}
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