Formula:7979

Digital Library of Mathematical Functions ID 23.8.E4

${\displaystyle{\displaystyle\zeta\left(z\right)=\frac{\eta_{1}z}{\omega_{1}}+\frac{\pi}{2\omega_{1}}\sum_{n=-\infty}^{\infty}\cot\left(\frac{\pi(z+2n\omega_{3})}{2\omega_{1}}\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\zeta\left(\NVar{z}\right)}}$: 23.2.E5
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\cot\NVar{z}}}$: cotangent 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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