DLMF:26.8.E7 (Q7832)

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DLMF:26.8.E7
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    Statements

    Defining formula
    ∑ k = 0 n s ⁡ ( n , k ) ⁢ x k = ( x - n + 1 ) n , superscript subscript 𝑘 0 𝑛 Stirling-number-first-kind-S 𝑛 𝑘 superscript 𝑥 𝑘 subscript 𝑥 𝑛 1 𝑛 {\displaystyle{\displaystyle\sum_{k=0}^{n}s\left(n,k\right)x^{k}=(x-n+1)_{n},}}
    0 references
    DLMF id
    DLMF:26.8.E7
    0 references
    Symbols used
    Q12132
    Defining formula
    s ⁡ ( n , k ) Stirling-number-first-kind-S 𝑛 𝑘 {\displaystyle{\displaystyle s\left(\NVar{n},\NVar{k}\right)}}
    xml-id
    C26.S8.SS1.p1.m5addec
    0 references
    Q12173
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C26.S1.XMD1.m1dec
    0 references
     
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