DLMF:26.8.E12 (Q7837)

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Language	Label	Description	Also known as
English	DLMF:26.8.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{n=0}^{\infty}S\left(n,k\right)\frac{x^{n}}{n% !}=\frac{({\mathrm{e}^{x}}-1)^{k}}{k!},}}

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DLMF:26.8.E12

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Defining formula

{\displaystyle{\displaystyle S\left(\NVar{n},\NVar{k}\right)}}

C26.S8.SS1.p3.m2afdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5acdec

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Defining formula

{\displaystyle{\displaystyle x}}

C26.S1.XMD1.m1edec

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Defining formula

{\displaystyle{\displaystyle k}}

C26.S1.XMD4.m1kdec

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Sitelinks

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