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:8947

From MaRDI portal
Jump to:navigation, search

Digital Library of Mathematical Functions ID 28.6.E20

lim inf n → ∞ ⁡ ρ n ( j ) n 2 ≥ k ⁢ k ′ ⁢ ( K ⁡ ( k ) ) 2 = 2.04183 4 ⁢ … , subscript limit-infimum → 𝑛 superscript subscript 𝜌 𝑛 𝑗 superscript 𝑛 2 𝑘 superscript 𝑘 ′ superscript complete-elliptic-integral-first-kind-K 𝑘 2 2.04183 4 … {\displaystyle{\displaystyle\liminf_{n\to\infty}\frac{\rho_{n}^{(j)}}{n^{2}}% \geq kk^{\prime}(K\left(k\right))^{2}=2.04183\;4\dots,}}


Constraint(s)

Symbols List

  • K ⁡ ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}} : Legendre’s complete elliptic integral of the first kind
  • lim inf limit-infimum {\displaystyle{\displaystyle\liminf}} :
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • j 𝑗 {\displaystyle{\displaystyle j}} : integer
  • ρ n ( j ) superscript subscript 𝜌 𝑛 𝑗 {\displaystyle{\displaystyle\rho_{n}^{(j)}}} : radii of convergence
  • k 𝑘 {\displaystyle{\displaystyle k}} : root
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:8947&oldid=11935875"
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