Formula:7985

Digital Library of Mathematical Functions ID 23.9.E3

${\displaystyle{\displaystyle\zeta\left(z\right)=\frac{1}{z}-\sum_{n=2}^{\infty}\frac{c_{n}}{2n-1}z^{2n-1},}}$

Constraint(s)

${\displaystyle{\displaystyle 0<|z|<|z_{0}|}}$

Symbols List

• ${\displaystyle{\displaystyle\zeta\left(\NVar{z}\right)}}$: 23.2.E5
• ${\displaystyle{\displaystyle\mathbb{L}}}$: lattice
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle z}}$: complex
• ${\displaystyle{\displaystyle c_{n}}}$: c n
 

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