DLMF:26.8.E23 (Q7851): Difference between revisions

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Property / constraint
 

n k h 𝑛 𝑘 {\displaystyle{\displaystyle n\geq k\geq h}}

n\geq k\geq h
Property / constraint: n k h 𝑛 𝑘 {\displaystyle{\displaystyle n\geq k\geq h}} / rank
 
Normal rank

Revision as of 18:20, 30 December 2019

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DLMF:26.8.E23
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    ( k h ) S ( n , k ) = j = k - h n - h ( n j ) S ( n - j , h ) S ( j , k - h ) , binomial 𝑘 Stirling-number-second-kind-S 𝑛 𝑘 superscript subscript 𝑗 𝑘 𝑛 binomial 𝑛 𝑗 Stirling-number-second-kind-S 𝑛 𝑗 Stirling-number-second-kind-S 𝑗 𝑘 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{k}{h}S\left(n,k\right)=% \sum_{j=k-h}^{n-h}\genfrac{(}{)}{0.0pt}{}{n}{j}S\left(n-j,h\right)S\left(j,k-h% \right),}}
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    DLMF:26.8.E23
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    n k h 𝑛 𝑘 {\displaystyle{\displaystyle n\geq k\geq h}}
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