DLMF:26.8.E30 (Q7858): 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.m5aqdec

Revision as of 12:55, 2 January 2020

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DLMF:26.8.E30
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    Statements

    j = k n s ( n + 1 , j + 1 ) n j - k = s ( n , k ) . superscript subscript 𝑗 𝑘 𝑛 Stirling-number-first-kind-S 𝑛 1 𝑗 1 superscript 𝑛 𝑗 𝑘 Stirling-number-first-kind-S 𝑛 𝑘 {\displaystyle{\displaystyle\sum_{j=k}^{n}s\left(n+1,j+1\right)\,n^{j-k}=s% \left(n,k\right).}}
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    s ( n , k ) Stirling-number-first-kind-S 𝑛 𝑘 {\displaystyle{\displaystyle s\left(\NVar{n},\NVar{k}\right)}}
    C26.S8.SS1.p1.m5aqdec
    0 references