DLMF:26.8.E34 (Q7862): Difference between revisions

Revision as of 12:56, 2 January 2020

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

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

C26.S8.SS1.p3.m2aqdec

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@@ Property / Symbols used @@
+Q12131
@@ Property / Symbols used: Q12131 / rank @@
+Normal rank
@@ Property / Symbols used: Q12131 / qualifier @@
+test:  ${\displaystyle{\displaystyle S\left(\NVar{n},\NVar{k}\right)}}$ 
\StirlingnumberS@{\NVar{n}}{\NVar{k}}
@@ Property / Symbols used: Q12131 / qualifier @@
+xml-id: C26.S8.SS1.p3.m2aqdec