DLMF:24.19.E3 (Q7595): 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: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
Defining formula:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5aadec

Revision as of 13:20, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:24.19.E3
No description defined

    Statements

    Defining formula
    t 2 cosh ⁡ t - 1 = - 2 ⁢ ∑ n = 0 ∞ ( 2 ⁢ n - 1 ) ⁢ B 2 ⁢ n ⁢ t 2 ⁢ n ( 2 ⁢ n ) ! , superscript 𝑡 2 𝑡 1 2 superscript subscript 𝑛 0 2 𝑛 1 Bernoulli-number-B 2 𝑛 superscript 𝑡 2 𝑛 2 𝑛 {\displaystyle{\displaystyle\frac{t^{2}}{\cosh t-1}=-2\sum_{n=0}^{\infty}(2n-1% )B_{2n}\frac{t^{2n}}{(2n)!},}}
    0 references
    DLMF id
    DLMF:24.19.E3
    0 references
    Symbols used
    Q11109
    Defining formula
    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    xml-id
    C24.S2.SS1.m1aadec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5aadec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7595&oldid=35629"