DLMF:24.9.E8 (Q7504): 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.m1acdec

Revision as of 00:39, 2 January 2020

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DLMF:24.9.E8
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    Statements

    2 ( 2 n ) ! ( 2 π ) 2 n 1 1 - 2 β - 2 n ( - 1 ) n + 1 B 2 n 2 ( 2 n ) ! ( 2 π ) 2 n 1 1 - 2 - 2 n 2 2 𝑛 superscript 2 𝜋 2 𝑛 1 1 superscript 2 𝛽 2 𝑛 superscript 1 𝑛 1 Bernoulli-number-B 2 𝑛 2 2 𝑛 superscript 2 𝜋 2 𝑛 1 1 superscript 2 2 𝑛 {\displaystyle{\displaystyle\frac{2(2n)!}{(2\pi)^{2n}}\frac{1}{1-2^{\beta-2n}}% \geq(-1)^{n+1}B_{2n}\geq\frac{2(2n)!}{(2\pi)^{2n}}\frac{1}{1-2^{-2n}}}}
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    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    C24.S2.SS1.m1acdec
    0 references