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DLMF:29.12.E9 - MaRDI portal

DLMF:29.12.E9 (Q9422)

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DLMF:29.12.E9
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    Statements

    DLMF defining formula
    ξ ρ ⁢ ( ξ - 1 ) σ ⁢ ( ξ - k - 2 ) τ ⁢ P ⁢ ( ξ ) , superscript 𝜉 𝜌 superscript 𝜉 1 𝜎 superscript 𝜉 superscript 𝑘 2 𝜏 𝑃 𝜉 {\displaystyle{\displaystyle\xi^{\rho}(\xi-1)^{\sigma}(\xi-k^{-2})^{\tau}P(\xi% ),}}
    0 references
    comment
    Warning: Falling back to standard tex;
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    Symbols used
    real parameter
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C29.S1.XMD8.m1idec
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    substitution
    DLMF defining formula
    ξ = sn 2 ⁡ ( z , k ) 𝜉 Jacobi-elliptic-sn 2 𝑧 𝑘 {\displaystyle{\displaystyle\xi={\operatorname{sn}^{2}}\left(z,k\right)}}
    xml-id
    C29.S12.XMD3.m1dec
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    Q12388
    DLMF defining formula
    0 0 {\displaystyle{\displaystyle 0}}
    xml-id
    C29.S12.XMD4.m1dec
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    Q12389
    DLMF defining formula
    0 0 {\displaystyle{\displaystyle 0}}
    xml-id
    C29.S12.XMD5.m1dec
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    Q12390
    DLMF defining formula
    0 0 {\displaystyle{\displaystyle 0}}
    xml-id
    C29.S12.XMD6.m1dec
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    polynomial
    DLMF defining formula
    P ⁢ ( ξ ) 𝑃 𝜉 {\displaystyle{\displaystyle P(\xi)}}
    xml-id
    C29.S12.XMD7.m1dec
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