DLMF:25.11.E26 (Q7700)

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Language	Label	Description	Also known as
English	DLMF:25.11.E26	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\zeta\left(s,a\right)=-s\int_{-a}^{\infty}\frac{x-% \left\lfloor x\right\rfloor-\frac{1}{2}}{(x+a)^{s+1}}\mathrm{d}x,}}

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DLMF:25.11.E26

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{\displaystyle{\displaystyle-1<\Re s<0}}

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{\displaystyle{\displaystyle-1<\Re s<0}}

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{\displaystyle{\displaystyle 0<a\leq 1}}

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Hurwitz zeta function

Defining formula

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

C25.S11.E1.m2aaadec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1afdec

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Defining formula

{\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}

introduction.Sx4.p1.t1.r17.m4aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3afdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1ajdec

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Sitelinks

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