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DLMF:22.2.E10 - MaRDI portal

DLMF:22.2.E10 (Q7625)

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DLMF:22.2.E10
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    Statements

    DLMF defining formula
    p ⁣ q ⁡ ( z , k ) = p ⁣ r ⁡ ( z , k ) q ⁣ r ⁡ ( z , k ) = 1 q ⁣ p ⁡ ( z , k ) , abstract-Jacobi-elliptic p q 𝑧 𝑘 abstract-Jacobi-elliptic p r 𝑧 𝑘 abstract-Jacobi-elliptic q r 𝑧 𝑘 1 abstract-Jacobi-elliptic q p 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{pq}\left(z,k\right)=\frac{% \operatorname{pr}\left(z,k\right)}{\operatorname{qr}\left(z,k\right)}=\frac{1}% {\operatorname{qp}\left(z,k\right)},}}
    0 references
    Symbols used
    complex
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C22.S1.XMD3.m1gdec
    0 references
    modulus
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1idec
    0 references

    Identifiers

     
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