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:10.13.E9

From MaRDI portal
Jump to:navigation, search


MaRDI QIDQ3832

  • Label: DLMF:10.13.E9


Digital Library of Mathematical Functions ID 10.13.E9

z 2 ⁢ w ′′′ + 3 ⁢ z ⁢ w ′′ + ( 4 ⁢ z 2 + 1 - 4 ⁢ ν 2 ) ⁢ w ′ + 4 ⁢ z ⁢ w = 0 , superscript 𝑧 2 superscript 𝑤 ′′′ 3 𝑧 superscript 𝑤 ′′ 4 superscript 𝑧 2 1 4 superscript 𝜈 2 superscript 𝑤 ′ 4 𝑧 𝑤 0 {\displaystyle{\displaystyle{z^{2}w^{\prime\prime\prime}+3zw^{\prime\prime}+(4% z^{2}+1-4\nu^{2})w^{\prime}+4zw=0},}}


Constraint(s)

w = 𝒞 ν ⁡ ( z ) ⁢ 𝒟 ν ⁢ ( z ) 𝑤 cylinder-function 𝜈 𝑧 subscript 𝒟 𝜈 𝑧 {\displaystyle{\displaystyle w=\mathscr{C}_{\nu}\left(z\right)\mathscr{D}_{\nu% }(z)}}

Symbols List

  • 𝒞 ν ⁡ ( z ) cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}} : cylinder function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  • 𝒟 ν ⁢ ( z ) subscript 𝒟 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{D}_{\nu}(z)}} : cylinder function
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:3832&oldid=24165588"
Tools
What links here
Related changes
Printable version
Permanent link
Page information
This page was last edited on 3 March 2024, at 02:52.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki