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:6.2.E2

From MaRDI portal
Formula:2910
Jump to:navigation, search


MaRDI QIDQ2910

  • Label: DLMF:6.2.E2


Digital Library of Mathematical Functions ID 6.2.E2

E 1 ⁡ ( z ) = e - z ⁢ ∫ 0 ∞ e - t t + z ⁢ d t , exponential-integral 𝑧 superscript 𝑒 𝑧 superscript subscript 0 superscript 𝑒 𝑡 𝑡 𝑧 𝑡 {\displaystyle{\displaystyle E_{1}\left(z\right)=e^{-z}\int_{0}^{\infty}\frac{% e^{-t}}{t+z}\mathrm{d}t,}}


Constraint(s)

| ph ⁡ z | < π phase 𝑧 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}} : exponential integral
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • ph phase {\displaystyle{\displaystyle\operatorname{ph}}} : phase
  • 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:2910&oldid=11931584"
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