DLMF:24.4.E5 (Q7418): 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: Q12110 / rank
 
Normal rank
Property / Symbols used: Q12110 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12110 / qualifier
 
xml-id: C24.S1.XMD5.m1ddec

Revision as of 01:25, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:24.4.E5
No description defined

    Statements

    Defining formula
    ( - 1 ) n ⁢ B n ⁡ ( - x ) = B n ⁡ ( x ) + n ⁢ x n - 1 , superscript 1 𝑛 Bernoulli-polynomial-B 𝑛 𝑥 Bernoulli-polynomial-B 𝑛 𝑥 𝑛 superscript 𝑥 𝑛 1 {\displaystyle{\displaystyle(-1)^{n}B_{n}\left(-x\right)=B_{n}\left(x\right)+% nx^{n-1},}}
    0 references
    DLMF id
    DLMF:24.4.E5
    0 references
    Symbols used
    Q11288
    Defining formula
    B n ⁡ ( x ) Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C24.S2.SS1.m2abdec
    0 references
    Q12110
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1ddec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7418&oldid=31264"