DLMF:24.4.E14 (Q7427): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
 
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.m1abdec

Revision as of 00:26, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:24.4.E14
No description defined

    Statements

    E n - 1 ( x ) = 2 n k = 0 n ( n k ) ( 1 - 2 k ) B k x n - k , Euler-polynomial-E 𝑛 1 𝑥 2 𝑛 superscript subscript 𝑘 0 𝑛 binomial 𝑛 𝑘 1 superscript 2 𝑘 Bernoulli-number-B 𝑘 superscript 𝑥 𝑛 𝑘 {\displaystyle{\displaystyle E_{n-1}\left(x\right)=\frac{2}{n}\sum_{k=0}^{n}{n% \choose k}(1-2^{k})B_{k}x^{n-k},}}
    0 references
    0 references
    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    C24.S2.SS1.m1abdec
    0 references