DLMF:22.13.E20 (Q7071)

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DLMF:22.13.E20
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    Defining formula
    d 2 d z 2 ⁡ nc ⁡ ( z , k ) = ( k 2 - k ′ 2 ) ⁢ nc ⁡ ( z , k ) + 2 ⁢ k ′ 2 ⁢ nc 3 ⁡ ( z , k ) , derivative 𝑧 2 Jacobi-elliptic-nc 𝑧 𝑘 superscript 𝑘 2 superscript superscript 𝑘 ′ 2 Jacobi-elliptic-nc 𝑧 𝑘 2 superscript superscript 𝑘 ′ 2 Jacobi-elliptic-nc 3 𝑧 𝑘 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}}{{\mathrm{d}z}^{2}}% \operatorname{nc}\left(z,k\right)=(k^{2}-{k^{\prime}}^{2})\operatorname{nc}% \left(z,k\right)+2{k^{\prime}}^{2}{\operatorname{nc}^{3}}\left(z,k\right),}}
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    DLMF id
    DLMF:22.13.E20
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