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DLMF:22.17.E4 - MaRDI portal

DLMF:22.17.E4 (Q7851)

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DLMF:22.17.E4
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    dn ( z , 1 / k ) = cn ( z / k , k ) . Jacobi-elliptic-dn 𝑧 1 𝑘 Jacobi-elliptic-cn 𝑧 𝑘 𝑘 {\displaystyle{\displaystyle\operatorname{dn}\left(z,1/k\right)=\operatorname{% cn}\left(z/k,k\right).}}
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    cn ( z , k ) Jacobi-elliptic-cn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}
    C22.S2.E5.m2aadec
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    dn ( z , k ) Jacobi-elliptic-dn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}
    C22.S2.E6.m2aadec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C22.S1.XMD3.m1cdec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C22.S1.XMD4.m1cdec
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