DLMF:26.8.E23 (Q7851)

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DLMF:26.8.E23
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    Statements

    Defining formula
    ( k h ) ⁢ S ⁡ ( n , k ) = ∑ j = k - h n - h ( n j ) ⁢ S ⁡ ( n - j , h ) ⁢ S ⁡ ( j , k - h ) , binomial 𝑘 ℎ Stirling-number-second-kind-S 𝑛 𝑘 superscript subscript 𝑗 𝑘 ℎ 𝑛 ℎ binomial 𝑛 𝑗 Stirling-number-second-kind-S 𝑛 𝑗 ℎ Stirling-number-second-kind-S 𝑗 𝑘 ℎ {\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 id
    DLMF:26.8.E23
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