DLMF:22.15.E2 (Q7095)

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DLMF:22.15.E2
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    Statements

    Defining formula
    cn ⁡ ( η , k ) = x , Jacobi-elliptic-cn 𝜂 𝑘 𝑥 {\displaystyle{\displaystyle\operatorname{cn}\left(\eta,k\right)=x,}}
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    DLMF id
    DLMF:22.15.E2
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    constraint
    - 1 ≤ x ≤ 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}}
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    Symbols used
    Jacobian elliptic function
    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
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    Q12003
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C22.S1.XMD1.m1adec
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    Q11984
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1adec
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    Q12005
    Defining formula
    η 𝜂 {\displaystyle{\displaystyle\eta}}
    xml-id
    C22.S15.XMD2.m1dec
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