DLMF:24.7.E3 (Q7479)

From DRMF
Revision as of 22:56, 29 December 2019 by Admin (talk | contribs) (‎Created a new Item: Wikidata Toolkit example test item creation)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:24.7.E3
No description defined

    Statements

    Defining formula
    B 2 ⁢ n = ( - 1 ) n + 1 ⁢ π 1 - 2 1 - 2 ⁢ n ⁢ ∫ 0 ∞ t 2 ⁢ n ⁢ sech 2 ⁡ ( π ⁢ t ) ⁢ d t , Bernoulli-number-B 2 𝑛 superscript 1 𝑛 1 𝜋 1 superscript 2 1 2 𝑛 superscript subscript 0 superscript 𝑡 2 𝑛 2 𝜋 𝑡 𝑡 {\displaystyle{\displaystyle B_{2n}=(-1)^{n+1}\frac{\pi}{1-2^{1-2n}}\int_{0}^{% \infty}t^{2n}{\operatorname{sech}^{2}}\left(\pi t\right)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:24.7.E3
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7479&oldid=13477"