Formula:8650

Digital Library of Mathematical Functions ID 26.14.E6

${\displaystyle{\displaystyle\genfrac{<}{>}{0.0pt}{}{n}{k}=\sum_{j=0}^{k}(-1)^{j}\genfrac{(}{)}{0.0pt}{}{n+1}{j}(k+1-j)^{n},}}$

Constraint(s)

${\displaystyle{\displaystyle n\geq 1}}$

Symbols List

• ${\displaystyle{\displaystyle\genfrac{<}{>}{0.0pt}{}{\NVar{n}}{\NVar{k}}}}$:
• ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle j}}$: nonnegative integer
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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