Formula:8488

Digital Library of Mathematical Functions ID 26.4.E10

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

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{n_{1}}+\NVar{n_{2}}+\dots+\NVar{n_{k}}}{\NVar{n_{1}},\NVar{n_{2}},\ldots,\NVar{n_{k}}}}}$:
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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