DLMF:24.15.E6 (Q7563): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11109 / rank
 
Normal rank
Property / Symbols used: Q11109 / qualifier
 
Defining formula:

B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}

\BernoullinumberB{\NVar{n}}
Property / Symbols used: Q11109 / qualifier
 
xml-id: C24.S2.SS1.m1abdec

Revision as of 01:48, 2 January 2020

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DLMF:24.15.E6
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    Statements

    B n = k = 0 n ( - 1 ) k k ! S ( n , k ) k + 1 , Bernoulli-number-B 𝑛 superscript subscript 𝑘 0 𝑛 superscript 1 𝑘 𝑘 Stirling-number-second-kind-S 𝑛 𝑘 𝑘 1 {\displaystyle{\displaystyle B_{n}=\sum_{k=0}^{n}(-1)^{k}\frac{k!S\left(n,k% \right)}{k+1},}}
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    DLMF:24.15.E6
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    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    C24.S2.SS1.m1abdec
    0 references