DLMF:25.6.E13 (Q7650)

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Language	Label	Description	Also known as
English	DLMF:25.6.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle(-1)^{k}{\zeta^{(k)}}\left(-2n\right)=\frac{2(-1)^% {n}}{(2\pi)^{2n+1}}\sum_{m=0}^{k}\sum_{r=0}^{m}\genfrac{(}{)}{0.0pt}{}{k}{m}% \genfrac{(}{)}{0.0pt}{}{m}{r}\Im(c^{k-m})\*{\Gamma^{(r)}}\left(2n+1\right){% \zeta^{(m-r)}}\left(2n+1\right),}}

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DLMF:25.6.E13

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Defining formula

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

C5.S2.E1.m2adec

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Riemann zeta function

Defining formula

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

C25.S2.E1.m2aldec

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Defining formula

{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

C1.S2.SS1.m1acdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aedec

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Defining formula

{\displaystyle{\displaystyle\Im}}

C1.S9.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle k}}

C25.S1.XMD1.m1edec

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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.m1ddec

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Defining formula

{\displaystyle{\displaystyle c}}

C25.S4.XMD1.m1dec

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