DLMF:26.4.E10 (Q7795): Difference between revisions

Revision as of 01:10, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:26.4.E10	No description defined

{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{n_{1}+n_{2}+\cdots+n_{m}}{% n_{1},n_{2},\ldots,n_{m}}=\sum_{k=1}^{m}\genfrac{(}{)}{0.0pt}{}{n_{1}+n_{2}+% \cdots+n_{m}-1}{n_{1},n_{2},\ldots,n_{k-1},n_{k}-1,n_{k+1},\ldots,n_{m}},}}

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DLMF:26.4.E10

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{\displaystyle{\displaystyle n_{1},n_{2},\ldots,n_{m}\geq 1}}

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{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{n_{1}}+\NVar{n_{2}}+% \dots+\NVar{n_{k}}}{\NVar{n_{1}},\NVar{n_{2}},\ldots,\NVar{n_{k}}}}}

C26.S4.SS1.p1.m2acdec

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@@ Property / Symbols used @@
+Q12175
@@ Property / Symbols used: Q12175 / rank @@
+Normal rank
@@ Property / Symbols used: Q12175 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{n_{1}}+\NVar{n_{2}}+% \dots+\NVar{n_{k}}}{\NVar{n_{1}},\NVar{n_{2}},\ldots,\NVar{n_{k}}}}}$ 
\multinomial{\NVar{n_{1}}+\NVar{n_{2}}+\dots+\NVar{n_{k}}}{\NVar{n_{1}},\NVar{n_{2}},\ldots,\NVar{n_{k}}}
@@ Property / Symbols used: Q12175 / qualifier @@
+xml-id: C26.S4.SS1.p1.m2acdec