Formula:7980

Digital Library of Mathematical Functions ID 23.8.E5

${\displaystyle{\displaystyle\eta_{1}=\frac{\pi^{2}}{2\omega_{1}}\left(\frac{1}{6}+\sum_{n=1}^{\infty}{\csc^{2}}\left(\frac{n\pi\omega_{3}}{\omega_{1}}\right)\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\csc\NVar{z}}}$: cosecant function
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle\omega_{1}}}$: lattice generators
• ${\displaystyle{\displaystyle\eta_{j}}}$: complex number
 

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