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:3631

From MaRDI portal
Jump to:navigation, search

Digital Library of Mathematical Functions ID 9.12.E5

Hi ⁡ ( z ) = Bi ⁡ ( z ) ⁢ ∫ - ∞ z Ai ⁡ ( t ) ⁢ d t - Ai ⁡ ( z ) ⁢ ∫ - ∞ z Bi ⁡ ( t ) ⁢ d t . Scorer-Hi 𝑧 Airy-Bi 𝑧 superscript subscript 𝑧 Airy-Ai 𝑡 𝑡 Airy-Ai 𝑧 superscript subscript 𝑧 Airy-Bi 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{Hi}\left(z\right)=\mathrm{Bi}\left(z\right% )\int_{-\infty}^{z}\mathrm{Ai}\left(t\right)\mathrm{d}t-\mathrm{Ai}\left(z% \right)\int_{-\infty}^{z}\mathrm{Bi}\left(t\right)\mathrm{d}t.}}


Constraint(s)

Symbols List

  • Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}} :
  • Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}} :
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • 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:3631&oldid=11932403"
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