DLMF:23.6.E13 (Q7254): Difference between revisions

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‎Changed an Item: Add constraint
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Property / Symbols used
 
Property / Symbols used: DLMF:23.2.E5 / rank
 
Normal rank
Property / Symbols used: DLMF:23.2.E5 / qualifier
 
Defining formula:

ζ ⁡ ( z ) Weierstrass-zeta-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\zeta\left(\NVar{z}\right)}}

\Weierstrasszetalatt@@{\NVar{z}}{\NVar{\mathbb{L}}}
Property / Symbols used: DLMF:23.2.E5 / qualifier
 
xml-id: C23.S2.E5.m2adec

Revision as of 15:48, 2 January 2020

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DLMF:23.6.E13
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    Statements

    Defining formula
    ζ ⁡ ( u ) = η 1 ω 1 ⁢ u + π 2 ⁢ ω 1 ⁢ d d z ⁡ ln ⁡ θ 1 ⁡ ( z , q ) , Weierstrass-zeta-on-lattice 𝑢 𝕃 subscript 𝜂 1 subscript 𝜔 1 𝑢 𝜋 2 subscript 𝜔 1 derivative 𝑧 Jacobi-theta 1 𝑧 𝑞 {\displaystyle{\displaystyle\zeta\left(u\right)=\frac{\eta_{1}}{\omega_{1}}u+% \frac{\pi}{2\omega_{1}}\frac{\mathrm{d}}{\mathrm{d}z}\ln\theta_{1}\left(z,q% \right),}}
    0 references
    DLMF id
    DLMF:23.6.E13
    0 references
    Symbols used
    Q11945
    Defining formula
    θ j ⁡ ( z , q ) Jacobi-theta 𝑗 𝑧 𝑞 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}
    xml-id
    C20.S2.SS1.m2akdec
    0 references
    DLMF:23.2.E5
    Defining formula
    ζ ⁡ ( z ) Weierstrass-zeta-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\zeta\left(\NVar{z}\right)}}
    xml-id
    C23.S2.E5.m2adec
    0 references
     
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