DLMF:24.6.E2 (Q7466): Difference between revisions

From DRMF
Jump to navigation Jump to search
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.m1aadec

Revision as of 01:31, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:24.6.E2
No description defined

    Statements

    B n = 1 n + 1 k = 1 n j = 1 k ( - 1 ) j j n ( n + 1 k - j ) / ( n k ) , Bernoulli-number-B 𝑛 1 𝑛 1 superscript subscript 𝑘 1 𝑛 superscript subscript 𝑗 1 𝑘 superscript 1 𝑗 superscript 𝑗 𝑛 binomial 𝑛 1 𝑘 𝑗 binomial 𝑛 𝑘 {\displaystyle{\displaystyle B_{n}=\frac{1}{n+1}\sum_{k=1}^{n}\sum_{j=1}^{k}(-% 1)^{j}j^{n}{\genfrac{(}{)}{0.0pt}{}{n+1}{k-j}}\Bigg{/}{\genfrac{(}{)}{0.0pt}{}% {n}{k}},}}
    0 references
    DLMF:24.6.E2
    0 references
    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    C24.S2.SS1.m1aadec
    0 references