DLMF:22.13.E16 (Q7067)

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DLMF:22.13.E16
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    Statements

    Defining formula
    d 2 d z 2 ⁡ cd ⁡ ( z , k ) = - ( 1 + k 2 ) ⁢ cd ⁡ ( z , k ) + 2 ⁢ k 2 ⁢ cd 3 ⁡ ( z , k ) , derivative 𝑧 2 Jacobi-elliptic-cd 𝑧 𝑘 1 superscript 𝑘 2 Jacobi-elliptic-cd 𝑧 𝑘 2 superscript 𝑘 2 Jacobi-elliptic-cd 3 𝑧 𝑘 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}}{{\mathrm{d}z}^{2}}% \operatorname{cd}\left(z,k\right)=-(1+k^{2})\operatorname{cd}\left(z,k\right)+% 2k^{2}{\operatorname{cd}^{3}}\left(z,k\right),}}
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    DLMF id
    DLMF:22.13.E16
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