Formula:8371

Digital Library of Mathematical Functions ID 25.11.E4

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

Constraint(s)

${\displaystyle{\displaystyle m=1,2,3,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}$: Hurwitz zeta function
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle a}}$: real or complex parameter
• ${\displaystyle{\displaystyle s}}$: complex variable
 

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