DLMF:22.16.E13 (Q7132)

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DLMF:22.16.E13
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    Statements

    test
    cn ⁡ ( x , k ) = cos ⁡ ϕ = cos ⁡ ( am ⁡ ( x , k ) ) . Jacobi-elliptic-cn 𝑥 𝑘 italic-ϕ Jacobi-elliptic-amplitude 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{cn}\left(x,k\right)=\cos\phi=\cos% \left(\operatorname{am}\left(x,k\right)\right).}}
    0 references
    DLMF id
    DLMF:22.16.E13
    0 references
    Symbols used
    Jacobi’s amplitude function
    test
    am ⁡ ( x , k ) Jacobi-elliptic-amplitude 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{am}\left(\NVar{x},\NVar{k}\right)}}
    xml-id
    C22.S16.E1.m2akdec
    0 references
    Jacobian elliptic function
    test
    cn ⁡ ( z , k ) Jacobi-elliptic-cn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}
    xml-id
    C22.S2.E5.m2adec
    0 references
     
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