DLMF:26.8.E29 (Q7857): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12132 / rank
 
Normal rank
Property / Symbols used: Q12132 / qualifier
 
test:

s ⁡ ( n , k ) Stirling-number-first-kind-S 𝑛 𝑘 {\displaystyle{\displaystyle s\left(\NVar{n},\NVar{k}\right)}}

\Stirlingnumbers@{\NVar{n}}{\NVar{k}}
Property / Symbols used: Q12132 / qualifier
 
xml-id: C26.S8.SS1.p1.m5apdec
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
test:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5ahdec

Latest revision as of 12:55, 2 January 2020

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DLMF:26.8.E29
No description defined

    Statements

    test
    ∑ k = 1 n ( - 1 ) n - k ⁢ s ⁡ ( n , k ) = n ! , superscript subscript 𝑘 1 𝑛 superscript 1 𝑛 𝑘 Stirling-number-first-kind-S 𝑛 𝑘 𝑛 {\displaystyle{\displaystyle\sum_{k=1}^{n}(-1)^{n-k}s\left(n,k\right)=n!,}}
    0 references
    DLMF id
    DLMF:26.8.E29
    0 references
    Symbols used
    Q12132
    test
    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.m5apdec
    0 references
    Q10755
    test
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5ahdec
    0 references
     
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