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

DLMF:24.13.E2

From MaRDI portal
Formula:8229
Jump to:navigation, search


MaRDI QIDQ8229

  • Label: DLMF:24.13.E2


Digital Library of Mathematical Functions ID 24.13.E2

∫ x x + 1 B n ⁑ ( t ) ⁒ d t = x n , superscript subscript π‘₯ π‘₯ 1 Bernoulli-polynomial-B 𝑛 𝑑 𝑑 superscript π‘₯ 𝑛 {\displaystyle{\displaystyle\int_{x}^{x+1}B_{n}\left(t\right)\mathrm{d}t=x^{n}% ,}}


Constraint(s)

n = 1 , 2 , … 𝑛 1 2 … {\displaystyle{\displaystyle n=1,2,\dots}}

Symbols List

  • B n ⁑ ( x ) Bernoulli-polynomial-B 𝑛 π‘₯ {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}} :
  • d x π‘₯ {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • t 𝑑 {\displaystyle{\displaystyle t}} : real or complex
  • x π‘₯ {\displaystyle{\displaystyle x}} : real or complex
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:8229&oldid=11935220"
Tools
What links here
Related changes
Printable version
Permanent link
Page information
This page was last edited on 28 January 2024, at 10:30.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki