DLMF:26.7.E2 (Q7818)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:26.7.E2
No description defined

    Statements

    Defining formula
    B ⁡ ( n ) = ∑ k = 0 n S ⁡ ( n , k ) , Bell-number 𝑛 superscript subscript 𝑘 0 𝑛 Stirling-number-second-kind-S 𝑛 𝑘 {\displaystyle{\displaystyle B\left(n\right)=\sum_{k=0}^{n}S\left(n,k\right),}}
    0 references
    DLMF id
    DLMF:26.7.E2
    0 references
    Symbols used
    Q12184
    Defining formula
    B ⁡ ( n ) Bell-number 𝑛 {\displaystyle{\displaystyle B\left(\NVar{n}\right)}}
    xml-id
    C26.S7.SS1.m1aadec
    0 references
    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.m2adec
    0 references
    Q12174
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C26.S1.XMD4.m1dec
    0 references
    Q12172
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1dec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7818&oldid=29985"