DLMF:22.19.E7 (Q7181)

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DLMF:22.19.E7
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    Statements

    Defining formula
    x ⁢ ( t ) = a ⁢ sn ⁡ ( t ⁢ 1 - η , k ) . 𝑥 𝑡 𝑎 Jacobi-elliptic-sn 𝑡 1 𝜂 𝑘 {\displaystyle{\displaystyle x(t)=a\operatorname{sn}\left(t\sqrt{1-\eta},k% \right).}}
    0 references
    DLMF id
    DLMF:22.19.E7
    0 references
    Symbols used
    Jacobian elliptic function
    Defining formula
    sn ⁡ ( z , k ) Jacobi-elliptic-sn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}
    xml-id
    C22.S2.E4.m2aadec
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    Q11984
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1bdec
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    Q12038
    Defining formula
    x ⁢ ( t ) 𝑥 𝑡 {\displaystyle{\displaystyle x(t)}}
    xml-id
    C22.S19.XMD5.m1cdec
    0 references
     
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