Formula:8548

Digital Library of Mathematical Functions ID 26.8.E27

${\displaystyle{\displaystyle s\left(n,n-k\right)=\sum_{j=0}^{k}(-1)^{j}\genfrac{(}{)}{0.0pt}{}{n-1+j}{k+j}\,\genfrac{(}{)}{0.0pt}{}{n+k}{k-j}\*S\left(k+j,j\right),}}$

Symbols List

• ${\displaystyle{\displaystyle s\left(\NVar{n},\NVar{k}\right)}}$:
• ${\displaystyle{\displaystyle S\left(\NVar{n},\NVar{k}\right)}}$:
• ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle j}}$: nonnegative integer
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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