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DLMF:22.17.E3 - MaRDI portal

DLMF:22.17.E3 (Q7850)

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DLMF:22.17.E3
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    Statements

    DLMF defining formula
    cn ⁡ ( z , 1 / k ) = dn ⁡ ( z / k , k ) , Jacobi-elliptic-cn 𝑧 1 𝑘 Jacobi-elliptic-dn 𝑧 𝑘 𝑘 {\displaystyle{\displaystyle\operatorname{cn}\left(z,1/k\right)=\operatorname{% dn}\left(z/k,k\right),}}
    0 references
    Symbols used
    Jacobian elliptic function
    DLMF defining formula
    cn ⁡ ( z , k ) Jacobi-elliptic-cn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}
    xml-id
    C22.S2.E5.m2adec
    0 references
    Jacobian elliptic function
    DLMF defining formula
    dn ⁡ ( z , k ) Jacobi-elliptic-dn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}
    xml-id
    C22.S2.E6.m2adec
    0 references
    complex
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C22.S1.XMD3.m1bdec
    0 references
    modulus
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1bdec
    0 references

    Identifiers

     
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