DLMF:2.10.E1 (Q988)

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Language	Label	Description	Also known as
English	DLMF:2.10.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{j=a}^{n}f(j)=\int_{a}^{n}f(x)\mathrm{d}x+% \tfrac{1}{2}f(a)+\tfrac{1}{2}f(n)+\sum_{s=1}^{m-1}\frac{B_{2s}}{(2s)!}\left(f^% {(2s-1)}(n)-f^{(2s-1)}(a)\right)+\int_{a}^{n}\frac{B_{2m}-\widetilde{B}_{2m}% \left(x\right)}{(2m)!}f^{(2m)}(x)\mathrm{d}x.}}

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DLMF:2.10.E1

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Defining formula

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

C24.S2.SS1.m1adec

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Defining formula

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

C1.S4.SS4.m1adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3adec

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Defining formula

{\displaystyle{\displaystyle\widetilde{B}_{\NVar{n}}\left(\NVar{x}\right)}}

C24.S2.SS3.m1adec

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Defining formula

{\displaystyle{\displaystyle a}}

C2.S10.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle m}}

C2.S10.XMD2.m1dec

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Sitelinks

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