DLMF:22.15.E3 (Q7096)

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DLMF:22.15.E3
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    Statements

    Defining formula
    dn ⁑ ( ΞΆ , k ) = x , Jacobi-elliptic-dn 𝜁 π‘˜ π‘₯ {\displaystyle{\displaystyle\operatorname{dn}\left(\zeta,k\right)=x,}}
    0 references
    DLMF id
    DLMF:22.15.E3
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    constraint
    k β€² ≀ x ≀ 1 superscript π‘˜ β€² π‘₯ 1 {\displaystyle{\displaystyle k^{\prime}\leq x\leq 1}}
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    Symbols used
    Jacobian elliptic function
    Defining formula
    dn ⁑ ( z , k ) Jacobi-elliptic-dn 𝑧 π‘˜ {\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}
    xml-id
    C22.S2.E6.m2adec
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    Q12003
    Defining formula
    x π‘₯ {\displaystyle{\displaystyle x}}
    xml-id
    C22.S1.XMD1.m1bdec
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    Q11984
    Defining formula
    k π‘˜ {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1bdec
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    Q11988
    Defining formula
    k β€² superscript π‘˜ β€² {\displaystyle{\displaystyle k^{\prime}}}
    xml-id
    C22.S1.XMD5.m1dec
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    Q12006
    Defining formula
    ΢ 𝜁 {\displaystyle{\displaystyle\zeta}}
    xml-id
    C22.S15.XMD3.m1dec
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