DLMF:25.11.E30 (Q7704)

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Language	Label	Description	Also known as
English	DLMF:25.11.E30	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\zeta\left(s,a\right)=\frac{\Gamma\left(1-s\right)% }{2\pi i}\int_{-\infty}^{(0+)}\frac{e^{az}z^{s-1}}{1-e^{z}}\mathrm{d}z,}}

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DLMF:25.11.E30

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{\displaystyle{\displaystyle\Re a>0}}

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{\displaystyle{\displaystyle s\neq 1}}

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{\displaystyle{\displaystyle\Re a>0}}

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2agdec

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Hurwitz zeta function

Defining formula

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

C25.S11.E1.m2aaedec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2afdec

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Defining formula

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

C1.S4.SS4.m1ajdec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2addec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ajdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1andec

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Defining formula

{\displaystyle{\displaystyle a}}

C25.S1.XMD6.m1ydec

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Defining formula

{\displaystyle{\displaystyle s}}

C25.S1.XMD7.m1vdec

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Defining formula

{\displaystyle{\displaystyle z}}

C25.S1.XMD8.m1adec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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