DLMF:22.13.E15 (Q7066)

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DLMF:22.13.E15
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    d 2 d z 2 dn ( z , k ) = ( 1 + k 2 ) dn ( z , k ) - 2 dn 3 ( z , k ) . derivative 𝑧 2 Jacobi-elliptic-dn 𝑧 𝑘 1 superscript superscript 𝑘 2 Jacobi-elliptic-dn 𝑧 𝑘 2 Jacobi-elliptic-dn 3 𝑧 𝑘 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}}{{\mathrm{d}z}^{2}}% \operatorname{dn}\left(z,k\right)=(1+{k^{\prime}}^{2})\operatorname{dn}\left(z% ,k\right)-2{\operatorname{dn}^{3}}\left(z,k\right).}}
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