DLMF:26.8.E9 (Q7834)

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DLMF:26.8.E9
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    n , k = 0 s ( n , k ) x n n ! y k = ( 1 + x ) y , superscript subscript 𝑛 𝑘 0 Stirling-number-first-kind-S 𝑛 𝑘 superscript 𝑥 𝑛 𝑛 superscript 𝑦 𝑘 superscript 1 𝑥 𝑦 {\displaystyle{\displaystyle\sum_{n,k=0}^{\infty}s\left(n,k\right)\frac{x^{n}}% {n!}y^{k}=(1+x)^{y},}}
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    DLMF:26.8.E9
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