DLMF:22.19.E6 (Q7180)

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DLMF:22.19.E6
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    Statements

    Defining formula
    x ⁢ ( t ) = a ⁢ cn ⁡ ( t ⁢ 1 + 2 ⁢ η , k ) . 𝑥 𝑡 𝑎 Jacobi-elliptic-cn 𝑡 1 2 𝜂 𝑘 {\displaystyle{\displaystyle x(t)=a\operatorname{cn}\left(t\sqrt{1+2\eta},k% \right).}}
    0 references
    DLMF id
    DLMF:22.19.E6
    0 references
    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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    Q11984
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1adec
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    Q12038
    Defining formula
    x ⁢ ( t ) 𝑥 𝑡 {\displaystyle{\displaystyle x(t)}}
    xml-id
    C22.S19.XMD5.m1bdec
    0 references
     
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