Formula:7943

Digital Library of Mathematical Functions ID 23.6.E9

${\displaystyle{\displaystyle\sigma\left(z\right)=2\omega_{1}\exp\left(\frac{\eta_{1}z^{2}}{2\omega_{1}}\right)\frac{\theta_{1}\left(\pi z/(2\omega_{1}),q\right)}{\pi\theta_{1}'\left(0,q\right)},}}$

Symbols List

• ${\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}$:
• ${\displaystyle{\displaystyle\sigma\left(\NVar{z}\right)}}$: 23.2.E6
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle\mathbb{L}}}$: lattice
• ${\displaystyle{\displaystyle q}}$: nome
• ${\displaystyle{\displaystyle z}}$: complex
• ${\displaystyle{\displaystyle\omega_{1}}}$: lattice generators
• ${\displaystyle{\displaystyle\eta_{j}}}$: complex number
 

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