DLMF:24.14.E2 (Q7547): 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.m1adec

Revision as of 00:45, 2 January 2020

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DLMF:24.14.E2
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    Statements

    test
    ∑ k = 0 n ( n k ) ⁢ B k ⁢ B n - k = ( 1 - n ) ⁢ B n - n ⁢ B n - 1 . superscript subscript 𝑘 0 𝑛 binomial 𝑛 𝑘 Bernoulli-number-B 𝑘 Bernoulli-number-B 𝑛 𝑘 1 𝑛 Bernoulli-number-B 𝑛 𝑛 Bernoulli-number-B 𝑛 1 {\displaystyle{\displaystyle\sum_{k=0}^{n}{n\choose k}B_{k}B_{n-k}=(1-n)B_{n}-% nB_{n-1}.}}
    0 references
    DLMF id
    DLMF:24.14.E2
    0 references
    Symbols used
    Q11109
    test
    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    xml-id
    C24.S2.SS1.m1adec
    0 references
     
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