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DLMF:32.10.E34 - MaRDI portal

DLMF:32.10.E34 (Q10127)

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DLMF:32.10.E34
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    Statements

    DLMF defining formula
    w ⁢ ( z ; 0 , 0 , 0 , 1 2 ) = Λ ⁢ ( C 1 ⁢ ϕ 1 + C 2 ⁢ ϕ 2 , z ) , 𝑤 𝑧 0 0 0 1 2 Λ subscript 𝐶 1 subscript italic-ϕ 1 subscript 𝐶 2 subscript italic-ϕ 2 𝑧 {\displaystyle{\displaystyle w(z;0,0,0,\tfrac{1}{2})=\Lambda(C_{1}\phi_{1}+C_{% 2}\phi_{2},z),}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    real
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C32.S1.XMD4.m1ydec
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    elliptic function
    DLMF defining formula
    Λ ⁢ ( u , z ) Λ 𝑢 𝑧 {\displaystyle{\displaystyle\Lambda(u,z)}}
    xml-id
    C32.S10.XMD29.m1adec
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    periods
    DLMF defining formula
    ϕ j subscript italic-ϕ 𝑗 {\displaystyle{\displaystyle\phi_{j}}}
    xml-id
    C32.S10.XMD30.m1dec
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    constant
    DLMF defining formula
    C 𝐶 {\displaystyle{\displaystyle C}}
    xml-id
    C32.S10.XMD32.m1adec
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