DLMF:26.8.E19 (Q7847)

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DLMF:26.8.E19
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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-first-kind-S 𝑛 𝑘 superscript subscript 𝑗 𝑘 ℎ 𝑛 ℎ binomial 𝑛 𝑗 Stirling-number-first-kind-S 𝑛 𝑗 ℎ Stirling-number-first-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.E19
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    constraint
    n ≥ k ≥ h 𝑛 𝑘 ℎ {\displaystyle{\displaystyle n\geq k\geq h}}
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