Mathematical Research Data Initiative
Main page
Recent changes
Random page
Help about MediaWiki
Create a new Item
Create a new Property
Create a new EntitySchema
Merge two items
In other projects
Discussion
View source
View history
Purge
English
Log in

Formula:4705

From MaRDI portal
Jump to:navigation, search

Digital Library of Mathematical Functions ID 11.9.E1

d 2 w d z 2 + 1 z ⁢ d w d z + ( 1 - ν 2 z 2 ) ⁢ w = z μ - 1 derivative 𝑤 𝑧 2 1 𝑧 derivative 𝑤 𝑧 1 superscript 𝜈 2 superscript 𝑧 2 𝑤 superscript 𝑧 𝜇 1 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+\frac{% 1}{z}\frac{\mathrm{d}w}{\mathrm{d}z}+\left(1-\frac{\nu^{2}}{z^{2}}\right)w=z^{% \mu-1}}}


Constraint(s)

Symbols List

  • d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}} : derivative of $$f$$ with respect to $$x$$
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : real or complex order
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:4705&oldid=24167288"
Tools
What links here
Related changes
Special pages
Printable version
Permanent link
Page information
MaRDI portal item
This page was last edited on 3 March 2024, at 02:02.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki