DLMF:25.11.E4 (Q7678)

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Language	Label	Description	Also known as
English	DLMF:25.11.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\zeta\left(s,a\right)=\zeta\left(s,a+m\right)+\sum% _{n=0}^{m-1}\frac{1}{(n+a)^{s}},}}

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DLMF:25.11.E4

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

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Hurwitz zeta function

Defining formula

{\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}

C25.S11.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle m}}

C25.S1.XMD2.m1dec

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Defining formula

{\displaystyle{\displaystyle n}}

C25.S1.XMD3.m1bdec

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Defining formula

{\displaystyle{\displaystyle a}}

C25.S1.XMD6.m1bdec

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Defining formula

{\displaystyle{\displaystyle s}}

C25.S1.XMD7.m1cdec

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Sitelinks

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