DLMF:26.7.E3 (Q7819)

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DLMF:26.7.E3
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    Statements

    Defining formula
    B ⁡ ( n ) = ∑ k = 1 m k n k ! ⁢ ∑ j = 0 m - k ( - 1 ) j j ! , Bell-number 𝑛 superscript subscript 𝑘 1 𝑚 superscript 𝑘 𝑛 𝑘 superscript subscript 𝑗 0 𝑚 𝑘 superscript 1 𝑗 𝑗 {\displaystyle{\displaystyle B\left(n\right)=\sum_{k=1}^{m}\frac{k^{n}}{k!}% \sum_{j=0}^{m-k}\frac{(-1)^{j}}{j!},}}
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    DLMF:26.7.E3
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