DLMF:25.5.E8 (Q7621)

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Language	Label	Description	Also known as
English	DLMF:25.5.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\zeta\left(s\right)=\frac{1}{2(1-2^{-s})\Gamma% \left(s\right)}\int_{0}^{\infty}\frac{x^{s-1}}{\sinh x}\mathrm{d}x,}}

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DLMF:25.5.E8

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{\displaystyle{\displaystyle\Re s>1}}

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Defining formula

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

C5.S2.E1.m2afdec

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Riemann zeta function

Defining formula

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

C25.S2.E1.m2agdec

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Defining formula

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

C1.S4.SS4.m1agdec

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hyperbolic sine function

Defining formula

{\displaystyle{\displaystyle\sinh\NVar{z}}}

C4.S28.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3agdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1agdec

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Defining formula

{\displaystyle{\displaystyle x}}

C25.S1.XMD5.m1gdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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