DLMF:22.6.E1 (Q6935)

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DLMF:22.6.E1
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    Statements

    Defining formula
    sn 2 ⁡ ( z , k ) + cn 2 ⁡ ( z , k ) = k 2 ⁢ sn 2 ⁡ ( z , k ) + dn 2 ⁡ ( z , k ) = 1 , Jacobi-elliptic-sn 2 𝑧 𝑘 Jacobi-elliptic-cn 2 𝑧 𝑘 superscript 𝑘 2 Jacobi-elliptic-sn 2 𝑧 𝑘 Jacobi-elliptic-dn 2 𝑧 𝑘 1 {\displaystyle{\displaystyle{\operatorname{sn}^{2}}\left(z,k\right)+{% \operatorname{cn}^{2}}\left(z,k\right)=k^{2}{\operatorname{sn}^{2}}\left(z,k% \right)+{\operatorname{dn}^{2}}\left(z,k\right)=1,}}
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    DLMF id
    DLMF:22.6.E1
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