DLMF:24.4.E29 (Q7442): Difference between revisions

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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.m1aidec

Revision as of 00:28, 2 January 2020

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DLMF:24.4.E29
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    Statements

    B 2 n ( 1 3 ) = B 2 n ( 2 3 ) = - 1 2 ( 1 - 3 1 - 2 n ) B 2 n . Bernoulli-polynomial-B 2 𝑛 1 3 Bernoulli-polynomial-B 2 𝑛 2 3 1 2 1 superscript 3 1 2 𝑛 Bernoulli-number-B 2 𝑛 {\displaystyle{\displaystyle B_{2n}\left(\tfrac{1}{3}\right)=B_{2n}\left(% \tfrac{2}{3}\right)=-\tfrac{1}{2}(1-3^{1-2n})B_{2n}.}}
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    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    C24.S2.SS1.m1aidec
    0 references