DLMF:23.10.E14 (Q7312)

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DLMF:23.10.E14
No description defined

    Statements

    Defining formula
    A n = n ⁢ ∏ j = 0 n - 1 ∏ ℓ = 0 ℓ ≠ j n - 1 1 σ ⁡ ( ( 2 ⁢ j ⁢ ω 1 + 2 ⁢ ℓ ⁢ ω 3 ) / n ) . subscript 𝐴 𝑛 𝑛 superscript subscript product 𝑗 0 𝑛 1 superscript subscript product ℓ 0 ℓ 𝑗 𝑛 1 1 Weierstrass-sigma-on-lattice 2 𝑗 subscript 𝜔 1 2 ℓ subscript 𝜔 3 𝑛 𝕃 {\displaystyle{\displaystyle A_{n}=n\prod_{j=0}^{n-1}\prod_{\begin{subarray}{c% }\ell=0\\ \ell\neq j\end{subarray}}^{n-1}\frac{1}{\sigma\left((2j\omega_{1}+2\ell\omega_% {3})/n\right)}.}}
    0 references
    DLMF id
    DLMF:23.10.E14
    0 references
    Symbols used
    DLMF:23.2.E6
    Defining formula
    σ ⁡ ( z ) Weierstrass-sigma-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\sigma\left(\NVar{z}\right)}}
    xml-id
    C23.S2.E6.m2addec
    0 references
    Q12055
    Defining formula
    𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}
    xml-id
    C23.S1.XMD1.m1mdec
    0 references
    Q12060
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C23.S1.XMD3.m1cdec
    0 references
    Q12049
    Defining formula
    ω 1 subscript 𝜔 1 {\displaystyle{\displaystyle\omega_{1}}}
    xml-id
    C23.S1.XMD8.m1cdec
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    Q12079
    Defining formula
    A n subscript 𝐴 𝑛 {\displaystyle{\displaystyle A_{n}}}
    xml-id
    C23.S10.XMD2.m1adec
    0 references
     
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