DLMF:24.7.E4 (Q7480): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1acdec

Revision as of 01:33, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:24.7.E4
No description defined

    Statements

    Defining formula
    B 2 ⁢ n = ( - 1 ) n + 1 ⁢ π ⁢ ∫ 0 ∞ t 2 ⁢ n ⁢ csch 2 ⁡ ( π ⁢ t ) ⁢ d t , Bernoulli-number-B 2 𝑛 superscript 1 𝑛 1 𝜋 superscript subscript 0 superscript 𝑡 2 𝑛 2 𝜋 𝑡 𝑡 {\displaystyle{\displaystyle B_{2n}=(-1)^{n+1}\pi\int_{0}^{\infty}t^{2n}{% \operatorname{csch}^{2}}\left(\pi t\right)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:24.7.E4
    0 references
    Symbols used
    Q11109
    Defining formula
    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    xml-id
    C24.S2.SS1.m1acdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2acdec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7480&oldid=32592"