DLMF:31.15.E4 (Q9122)

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DLMF:31.15.E4
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    Statements

    Defining formula
    G ⁢ ( ζ 1 , ζ 2 , … , ζ n ) = ∏ k = 1 n ∏ ℓ = 1 N ( ζ k - a ℓ ) γ ℓ / 2 ⁢ ∏ j = k + 1 n ( ζ k - ζ j ) . 𝐺 subscript 𝜁 1 subscript 𝜁 2 … subscript 𝜁 𝑛 superscript subscript product 𝑘 1 𝑛 superscript subscript product ℓ 1 𝑁 superscript subscript 𝜁 𝑘 subscript 𝑎 ℓ subscript 𝛾 ℓ 2 superscript subscript product 𝑗 𝑘 1 𝑛 subscript 𝜁 𝑘 subscript 𝜁 𝑗 {\displaystyle{\displaystyle G(\zeta_{1},\zeta_{2},\dots,\zeta_{n})=\prod_{k=1% }^{n}\prod_{\ell=1}^{N}(\zeta_{k}-a_{\ell})^{\ifrac{\gamma_{\ell}}{2}}\prod_{j% =k+1}^{n}(\zeta_{k}-\zeta_{j}).}}
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    DLMF id
    DLMF:31.15.E4
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q12458
    Defining formula
    γ 𝛾 {\displaystyle{\displaystyle\gamma}}
    xml-id
    C31.S1.XMD10.m1cdec
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    Q12477
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C31.S1.XMD2.m1cdec
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    Q12484
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C31.S1.XMD5.m1bdec
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    Q12461
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C31.S1.XMD6.m1cdec
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    Q12512
    Defining formula
    N + 1 𝑁 1 {\displaystyle{\displaystyle N+1}}
    xml-id
    C31.S14.XMD1.m1cdec
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