DLMF:26.8.E12 (Q7837)

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DLMF:26.8.E12
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    test
    ∑ n = 0 ∞ S ⁡ ( n , k ) ⁢ x n n ! = ( e x - 1 ) k k ! , superscript subscript 𝑛 0 Stirling-number-second-kind-S 𝑛 𝑘 superscript 𝑥 𝑛 𝑛 superscript 𝑥 1 𝑘 𝑘 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}S\left(n,k\right)\frac{x^{n}}{n% !}=\frac{({\mathrm{e}^{x}}-1)^{k}}{k!},}}
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    DLMF:26.8.E12
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