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:26.8.E41

From MaRDI portal
Formula:8562
Jump to:navigation, search


MaRDI QIDQ8562

  • Label: DLMF:26.8.E41


Digital Library of Mathematical Functions ID 26.8.E41

s ⁡ ( n + k , k ) ∼ ( - 1 ) n 2 n ⁢ n ! ⁢ k 2 ⁢ n , asymptotically-equals Stirling-number-first-kind-S 𝑛 𝑘 𝑘 superscript 1 𝑛 superscript 2 𝑛 𝑛 superscript 𝑘 2 𝑛 {\displaystyle{\displaystyle s\left(n+k,k\right)\sim\frac{(-1)^{n}}{2^{n}n!}k^% {2n},}}


Constraint(s)

k → ∞ → 𝑘 {\displaystyle{\displaystyle k\to\infty}}

Symbols List

  • s ⁡ ( n , k ) Stirling-number-first-kind-S 𝑛 𝑘 {\displaystyle{\displaystyle s\left(\NVar{n},\NVar{k}\right)}} :
  • ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}} : asymptotic equality
  • ! {\displaystyle{\displaystyle!}} :
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:8562&oldid=11937167"
Tools
What links here
Related changes
Printable version
Permanent link
Page information
This page was last edited on 28 January 2024, at 11:30.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki