DLMF:26.8.E39 (Q7867)

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DLMF:26.8.E39
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    j = k n s ( j , k ) S ( n , j ) = j = k n s ( n , j ) S ( j , k ) = δ n , k . superscript subscript 𝑗 𝑘 𝑛 Stirling-number-first-kind-S 𝑗 𝑘 Stirling-number-second-kind-S 𝑛 𝑗 superscript subscript 𝑗 𝑘 𝑛 Stirling-number-first-kind-S 𝑛 𝑗 Stirling-number-second-kind-S 𝑗 𝑘 Kronecker 𝑛 𝑘 {\displaystyle{\displaystyle\sum_{j=k}^{n}s\left(j,k\right)S\left(n,j\right)=% \sum_{j=k}^{n}s\left(n,j\right)S\left(j,k\right)=\delta_{n,k}.}}
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    DLMF:26.8.E39
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