DLMF:24.8.E8 (Q7495): Difference between revisions

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Latest revision as of 01:37, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:24.8.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{B_{2n}}{4n}\left(\alpha^{n}-(-\beta)^{n}% \right)=\alpha^{n}\sum_{k=1}^{\infty}\frac{k^{2n-1}}{e^{2\alpha k}-1}-(-\beta)% ^{n}\sum_{k=1}^{\infty}\frac{k^{2n-1}}{e^{2\beta k}-1},}}

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DLMF:24.8.E8

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{\displaystyle{\displaystyle n=2,3,\dots}}

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Defining formula

{\displaystyle{\displaystyle B_{\NVar{n}}}}

C24.S2.SS1.m1abdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2acdec

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Defining formula

{\displaystyle{\displaystyle k}}

C24.S1.XMD2.m1gdec

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Defining formula

{\displaystyle{\displaystyle n}}

C24.S1.XMD5.m1gdec

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Defining formula

{\displaystyle{\displaystyle\alpha}}

C24.S8.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle\beta}}

C24.S8.XMD2.m1dec

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Sitelinks

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