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

Formula:984

From MaRDI portal
Jump to:navigation, search

Digital Library of Mathematical Functions ID 2.10.E26

f n = 1 2 ⁢ π ⁢ i ⁢ ∫ 𝒞 f ⁢ ( z ) z n + 1 ⁢ d z , subscript 𝑓 𝑛 1 2 𝜋 𝑖 subscript 𝒞 𝑓 𝑧 superscript 𝑧 𝑛 1 𝑧 {\displaystyle{\displaystyle f_{n}=\frac{1}{2\pi i}\int_{\mathscr{C}}\frac{f(z% )}{z^{n+1}}\mathrm{d}z,}}


Constraint(s)

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
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • f ⁢ ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}} : analytic function
  • f n subscript 𝑓 𝑛 {\displaystyle{\displaystyle f_{n}}} : coefficients
  • 𝒞 𝒞 {\displaystyle{\displaystyle\mathscr{C}}} : simple closed contour
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:984&oldid=11927589"
Tools
What links here
Related changes
Special pages
Printable version
Permanent link
Page information
This page was last edited on 28 January 2024, at 10:02.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki