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:2617

From MaRDI portal
Jump to:navigation, search

Digital Library of Mathematical Functions ID 5.6.E1

1 < ( 2 ⁢ π ) - 1 / 2 ⁢ x ( 1 / 2 ) - x ⁢ e x ⁢ Γ ⁡ ( x ) < e 1 / ( 12 ⁢ x ) , 1 superscript 2 𝜋 1 2 superscript 𝑥 1 2 𝑥 superscript 𝑒 𝑥 Euler-Gamma 𝑥 superscript 𝑒 1 12 𝑥 {\displaystyle{\displaystyle 1<(2\pi)^{-1/2}x^{(1/2)-x}e^{x}\Gamma\left(x% \right)<e^{1/(12x)},}}


Constraint(s)

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:2617&oldid=11930368"
Tools
What links here
Related changes
Special pages
Printable version
Permanent link
Page information
This page was last edited on 28 January 2024, at 10:30.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki