DLMF:22.8.E27 (Q6992)

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DLMF:22.8.E27
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    Statements

    Defining formula
    dn ⁡ z 1 ⁢ dn ⁡ z 3 = dn ⁡ z 2 ⁢ dn ⁡ z 4 = k ′ . Jacobi-elliptic-dn subscript 𝑧 1 𝑘 Jacobi-elliptic-dn subscript 𝑧 3 𝑘 Jacobi-elliptic-dn subscript 𝑧 2 𝑘 Jacobi-elliptic-dn subscript 𝑧 4 𝑘 superscript 𝑘 ′ {\displaystyle{\displaystyle\operatorname{dn}z_{1}\operatorname{dn}z_{3}=% \operatorname{dn}z_{2}\operatorname{dn}z_{4}=k^{\prime}.}}
    0 references
    DLMF id
    DLMF:22.8.E27
    0 references
    Symbols used
    Jacobian elliptic function
    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.m2amdec
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    Q11985
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C22.S1.XMD3.m1hdec
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    Q11984
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1gdec
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    Q11988
    Defining formula
    k ′ superscript 𝑘 ′ {\displaystyle{\displaystyle k^{\prime}}}
    xml-id
    C22.S1.XMD5.m1adec
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