DLMF:24.15.E8 (Q7565): Difference between revisions

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imported>Admin
Property / Symbols used
 
Property / Symbols used: Q11109 / rank
 
Normal rank
Property / Symbols used: Q11109 / qualifier
 
test:

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

\BernoullinumberB{\NVar{n}}
Property / Symbols used: Q11109 / qualifier
 
xml-id: C24.S2.SS1.m1addec

Revision as of 00:48, 2 January 2020

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DLMF:24.15.E8
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    Statements

    k = 0 n ( - 1 ) n + k s ( n + 1 , k + 1 ) B k = n ! n + 1 . superscript subscript 𝑘 0 𝑛 superscript 1 𝑛 𝑘 Stirling-number-first-kind-S 𝑛 1 𝑘 1 Bernoulli-number-B 𝑘 𝑛 𝑛 1 {\displaystyle{\displaystyle\sum_{k=0}^{n}(-1)^{n+k}s\left(n+1,k+1\right)B_{k}% =\frac{n!}{n+1}.}}
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    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    C24.S2.SS1.m1addec
    0 references