Mathematical Research Data Initiative
Main page
Recent changes
Random page
SPARQL
MaRDI@GitHub
In other projects
MaRDI portal item
Discussion
View source
View history
Purge
English
Log in

Formula:8159

From MaRDI portal
Jump to:navigation, search

Digital Library of Mathematical Functions ID 24.6.E2

B n = 1 n + 1 ⁢ ∑ k = 1 n ∑ j = 1 k ( - 1 ) j ⁢ j n ⁢ ( n + 1 k - j ) / ( n k ) , Bernoulli-number-B 𝑛 1 𝑛 1 superscript subscript 𝑘 1 𝑛 superscript subscript 𝑗 1 𝑘 superscript 1 𝑗 superscript 𝑗 𝑛 binomial 𝑛 1 𝑘 𝑗 binomial 𝑛 𝑘 {\displaystyle{\displaystyle B_{n}=\frac{1}{n+1}\sum_{k=1}^{n}\sum_{j=1}^{k}(-% 1)^{j}j^{n}{\genfrac{(}{)}{0.0pt}{}{n+1}{k-j}}\Bigg{/}{\genfrac{(}{)}{0.0pt}{}% {n}{k}},}}


Constraint(s)

Symbols List

  • B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}} :
  • ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}} :
  • j 𝑗 {\displaystyle{\displaystyle j}} : integer
  • k 𝑘 {\displaystyle{\displaystyle k}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:8159&oldid=11928023"
Tools
What links here
Related changes
Special pages
Printable version
Permanent link
Page information
This page was last edited on 28 January 2024, at 10:02.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki