DLMF:26.8.E22 (Q7850): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12131 / rank
 
Normal rank
Property / Symbols used: Q12131 / qualifier
 
test:

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

\StirlingnumberS@{\NVar{n}}{\NVar{k}}
Property / Symbols used: Q12131 / qualifier
 
xml-id: C26.S8.SS1.p3.m2ajdec

Revision as of 12:54, 2 January 2020

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DLMF:26.8.E22
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    Statements

    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),}}
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    S ( n , k ) Stirling-number-second-kind-S 𝑛 𝑘 {\displaystyle{\displaystyle S\left(\NVar{n},\NVar{k}\right)}}
    C26.S8.SS1.p3.m2ajdec
    0 references