DLMF:23.10.E14 (Q7312): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12055 / rank
 
Normal rank
Property / Symbols used: Q12055 / qualifier
 
Defining formula:

𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}

\mathbb{L}
Property / Symbols used: Q12055 / qualifier
 
xml-id: C23.S1.XMD1.m1mdec
Property / Symbols used
 
Property / Symbols used: Q12060 / rank
 
Normal rank
Property / Symbols used: Q12060 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12060 / qualifier
 
xml-id: C23.S1.XMD3.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12049 / rank
 
Normal rank
Property / Symbols used: Q12049 / qualifier
 
Defining formula:

ω 1 subscript 𝜔 1 {\displaystyle{\displaystyle\omega_{1}}}

\omega_{1}
Property / Symbols used: Q12049 / qualifier
 
xml-id: C23.S1.XMD8.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12079 / rank
 
Normal rank
Property / Symbols used: Q12079 / qualifier
 
Defining formula:

A n subscript 𝐴 𝑛 {\displaystyle{\displaystyle A_{n}}}

A_{n}
Property / Symbols used: Q12079 / qualifier
 
xml-id: C23.S10.XMD2.m1adec

Latest revision as of 16:00, 2 January 2020

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DLMF:23.10.E14
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    Statements

    A n = n j = 0 n - 1 = 0 j n - 1 1 σ ( ( 2 j ω 1 + 2 ω 3 ) / n ) . subscript 𝐴 𝑛 𝑛 superscript subscript product 𝑗 0 𝑛 1 superscript subscript product 0 𝑗 𝑛 1 1 Weierstrass-sigma-on-lattice 2 𝑗 subscript 𝜔 1 2 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:23.10.E14
    0 references
    σ ( z ) Weierstrass-sigma-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\sigma\left(\NVar{z}\right)}}
    C23.S2.E6.m2addec
    0 references
    𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}
    C23.S1.XMD1.m1mdec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C23.S1.XMD3.m1cdec
    0 references
    ω 1 subscript 𝜔 1 {\displaystyle{\displaystyle\omega_{1}}}
    C23.S1.XMD8.m1cdec
    0 references
    A n subscript 𝐴 𝑛 {\displaystyle{\displaystyle A_{n}}}
    C23.S10.XMD2.m1adec
    0 references