DLMF:22.13.E18 (Q7069)

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DLMF:22.13.E18
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    d 2 d z 2 nd ( z , k ) = ( 1 + k 2 ) nd ( z , k ) - 2 k 2 nd 3 ( z , k ) , derivative 𝑧 2 Jacobi-elliptic-nd 𝑧 𝑘 1 superscript superscript 𝑘 2 Jacobi-elliptic-nd 𝑧 𝑘 2 superscript superscript 𝑘 2 Jacobi-elliptic-nd 3 𝑧 𝑘 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}}{{\mathrm{d}z}^{2}}% \operatorname{nd}\left(z,k\right)=(1+{k^{\prime}}^{2})\operatorname{nd}\left(z% ,k\right)-2{k^{\prime}}^{2}{\operatorname{nd}^{3}}\left(z,k\right),}}
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    DLMF:22.13.E18
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    nd ( z , k ) Jacobi-elliptic-nd 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{nd}\left(\NVar{z},\NVar{k}\right)}}
    C22.S2.E6.m3abdec
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