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

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Property / Symbols used: Q11945 / rank
 
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Property / Symbols used: Q11945 / qualifier
 
Defining formula:

θ j ( z , q ) Jacobi-theta 𝑗 𝑧 𝑞 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}

\Jacobithetaq{\NVar{j}}@{\NVar{z}}{\NVar{q}}
Property / Symbols used: Q11945 / qualifier
 
xml-id: C20.S2.SS1.m2akdec

Revision as of 15:48, 2 January 2020

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DLMF:23.6.E13
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    Statements

    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),}}
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    DLMF:23.6.E13
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    θ j ( z , q ) Jacobi-theta 𝑗 𝑧 𝑞 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}
    C20.S2.SS1.m2akdec
    0 references