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:9563

From MaRDI portal
Jump to:navigation, search

Digital Library of Mathematical Functions ID 30.8.E5

∑ k = - R ∞ a n , k m ⁢ ( γ 2 ) ⁢ a n , k - m ⁢ ( γ 2 ) ⁢ 1 2 ⁢ n + 4 ⁢ k + 1 = 1 2 ⁢ n + 1 , superscript subscript 𝑘 𝑅 superscript subscript 𝑎 𝑛 𝑘 𝑚 superscript 𝛾 2 superscript subscript 𝑎 𝑛 𝑘 𝑚 superscript 𝛾 2 1 2 𝑛 4 𝑘 1 1 2 𝑛 1 {\displaystyle{\displaystyle\sum_{k=-R}^{\infty}a_{n,k}^{m}(\gamma^{2})a_{n,k}% ^{-m}(\gamma^{2})\frac{1}{2n+4k+1}=\frac{1}{2n+1},}}


Constraint(s)

Symbols List

  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  • n ≥ m 𝑛 𝑚 {\displaystyle{\displaystyle n\geq m}} : integer degree
  • γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}} : real parameter
  • R = ⌊ ( n - m ) / 2 ⌋ 𝑅 𝑛 𝑚 2 {\displaystyle{\displaystyle R=\left\lfloor(n-m)/2\right\rfloor}} : limit
  • a n , k m ⁢ ( γ 2 ) subscript superscript 𝑎 𝑚 𝑛 𝑘 superscript 𝛾 2 {\displaystyle{\displaystyle a^{m}_{n,k}(\gamma^{2})}} : coefficients (locally)
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:9563&oldid=11929348"
Tools
What links here
Related changes
Special pages
Printable version
Permanent link
Page information
MaRDI portal item
This page was last edited on 28 January 2024, at 10:02.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki