DLMF:19.25.E28 (Q6534)

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DLMF:19.25.E28
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    Statements

    Defining formula
    Δ ⁢ ( p , q ) = p ⁣ s 2 ⁡ ( u , k ) - q ⁣ s 2 ⁡ ( u , k ) = - Δ ⁢ ( q , p ) , Δ p q abstract-Jacobi-elliptic p s 2 𝑢 𝑘 abstract-Jacobi-elliptic q s 2 𝑢 𝑘 Δ q p {\displaystyle{\displaystyle\Delta(\mathrm{p,q})={\operatorname{ps}^{2}}\left(% u,k\right)-{\operatorname{qs}^{2}}\left(u,k\right)=-\Delta(\mathrm{q,p}),}}
    0 references
    DLMF id
    DLMF:19.25.E28
    0 references
    Symbols used
    generic Jacobian elliptic function
    Defining formula
    p ⁣ q ⁡ ( z , k ) abstract-Jacobi-elliptic p q 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{pq}\left(\NVar{z},\NVar{k}\right)}}
    xml-id
    C22.S2.E10.m2adec
    0 references
    Q11808
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C19.S1.XMD5.m1aadec
    0 references
     
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