Formula:7982

Digital Library of Mathematical Functions ID 23.8.E7

${\displaystyle{\displaystyle\sigma\left(z\right)=\frac{2\omega_{1}}{\pi}\exp\left(\frac{\eta_{1}z^{2}}{2\omega_{1}}\right)\sin\left(\frac{\pi z}{2\omega_{1}}\right)\prod_{n=1}^{\infty}\frac{\sin\left(\pi(2n\omega_{3}+z)/(2\omega_{1})\right)\sin\left(\pi(2n\omega_{3}-z)/(2\omega_{1})\right)}{{\sin^{2}}\left(\pi n\omega_{3}/\omega_{1}\right)}.}}$

Symbols List

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

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