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:8.18.E13

From MaRDI portal
Formula:3379
Jump to:navigation, search


MaRDI QIDQ3379

  • Label: DLMF:8.18.E13


Digital Library of Mathematical Functions ID 8.18.E13

Γ ~ ⁢ ( z ) = ( 2 ⁢ π ) - 1 / 2 ⁢ e z ⁢ z ( 1 / 2 ) - z ⁢ Γ ⁡ ( z ) , ~ Γ 𝑧 superscript 2 𝜋 1 2 superscript 𝑒 𝑧 superscript 𝑧 1 2 𝑧 Euler-Gamma 𝑧 {\displaystyle{\displaystyle\widetilde{\Gamma}(z)=(2\pi)^{-1/2}e^{z}z^{(1/2)-z% }\Gamma\left(z\right),}}


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
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:3379&oldid=11931037"
Tools
What links here
Related changes
Printable version
Permanent link
Page information
This page was last edited on 28 January 2024, at 11:30.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki