DLMF:24.7.E3 (Q7479): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:24.7.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle B_{2n}=(-1)^{n+1}\frac{\pi}{1-2^{1-2n}}\int_{0}^{% \infty}t^{2n}{\operatorname{sech}^{2}}\left(\pi t\right)\mathrm{d}t,}}

0 references

DLMF:24.7.E3

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Defining formula

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

C24.S2.SS1.m1abdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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Defining formula

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

C1.S4.SS4.m1abdec

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hyperbolic secant function

Defining formula

{\displaystyle{\displaystyle\operatorname{sech}\NVar{z}}}

C4.S28.E6.m2aadec

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