DLMF:24.7.E8 (Q7484)

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Language	Label	Description	Also known as
English	DLMF:24.7.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle B_{2n+1}\left(x\right)=(-1)^{n+1}(2n+1)\*\int_{0}% ^{\infty}\frac{\sin\left(2\pi x\right)}{\cosh\left(2\pi t\right)-\cos\left(2% \pi x\right)}t^{2n}\mathrm{d}t.}}

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DLMF:24.7.E8

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Defining formula

{\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}

C24.S2.SS1.m2aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2agdec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2aadec

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Defining formula

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

C1.S4.SS4.m1agdec

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hyperbolic cosine function

Defining formula

{\displaystyle{\displaystyle\cosh\NVar{z}}}

C4.S28.E2.m2aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3agdec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2adec

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