Formula:8368

Digital Library of Mathematical Functions ID 25.11.E1

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \Hurwitzzeta@{s}{a}=\sum_{n=0}^{\infty}\frac{1}{(n+a)^{s}},}

Constraint(s)

${\displaystyle{\displaystyle\Re s>1}}$
${\displaystyle{\displaystyle\Re s>1}}$
${\displaystyle{\displaystyle a\neq 0,-1,-2,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle a}}$: real or complex parameter
• ${\displaystyle{\displaystyle s}}$: complex variable
 

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