Formula:8377

Digital Library of Mathematical Functions ID 25.11.E10

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{\Pochhammersym{s}{n}}{n!}\Riemannzeta@{n+s}(1-a)^{n},}

Constraint(s)

${\displaystyle{\displaystyle|a-1|<1}}$

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}$: Hurwitz zeta function
• ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$:
• ${\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}$: Riemann zeta function
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle a}}$: real or complex parameter
• ${\displaystyle{\displaystyle s}}$: complex variable
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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