DLMF:26.8.E22 (Q7850)

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DLMF:26.8.E22
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    Statements

    Defining formula
    S ⁡ ( n , k ) = k ⁢ S ⁡ ( n - 1 , k ) + S ⁡ ( n - 1 , k - 1 ) , Stirling-number-second-kind-S 𝑛 𝑘 𝑘 Stirling-number-second-kind-S 𝑛 1 𝑘 Stirling-number-second-kind-S 𝑛 1 𝑘 1 {\displaystyle{\displaystyle S\left(n,k\right)=kS\left(n-1,k\right)+S\left(n-1% ,k-1\right),}}
    0 references
    DLMF id
    DLMF:26.8.E22
    0 references
    Symbols used
    Q12131
    Defining formula
    S ⁡ ( n , k ) Stirling-number-second-kind-S 𝑛 𝑘 {\displaystyle{\displaystyle S\left(\NVar{n},\NVar{k}\right)}}
    xml-id
    C26.S8.SS1.p3.m2ajdec
    0 references
    Q12174
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C26.S1.XMD4.m1qdec
    0 references
    Q12172
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1vdec
    0 references
     
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