DLMF:26.8.E34 (Q7862)

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Language	Label	Description	Also known as
English	DLMF:26.8.E34	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{j=0}^{n}j^{k}x^{j}=\sum_{j=0}^{k}S\left(k,j% \right)x^{j}\frac{{\mathrm{d}}^{j}}{{\mathrm{d}x}^{j}}\left(\frac{1-x^{n+1}}{1% -x}\right),}}

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DLMF:26.8.E34

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Defining formula

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

C26.S8.SS1.p3.m2aqdec

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derivative of $$f$$ with respect to $$x$$

Defining formula

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

C1.S4.E4.m2aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C26.S1.XMD1.m1idec

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Defining formula

{\displaystyle{\displaystyle j}}

C26.S1.XMD3.m1kdec

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Defining formula

{\displaystyle{\displaystyle k}}

C26.S1.XMD4.m1abdec

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Defining formula

{\displaystyle{\displaystyle n}}

C26.S1.XMD6.m1agdec

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Sitelinks

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