DLMF:29.2.E5 (Q8578)

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DLMF:29.2.E5
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    Statements

    Defining formula
    ϕ = 1 2 ⁢ π - am ⁡ ( z , k ) . italic-ϕ 1 2 𝜋 Jacobi-elliptic-amplitude 𝑧 𝑘 {\displaystyle{\displaystyle\phi=\tfrac{1}{2}\pi-\operatorname{am}\left(z,k% \right).}}
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    DLMF id
    DLMF:29.2.E5
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    Symbols used
    Jacobi’s amplitude function
    Defining formula
    am ⁡ ( x , k ) Jacobi-elliptic-amplitude 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{am}\left(\NVar{x},\NVar{k}\right)}}
    xml-id
    C22.S16.E1.m2adec
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
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    Q12348
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C29.S1.XMD6.m1cdec
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