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:9018

From MaRDI portal
Jump to:navigation, search

Digital Library of Mathematical Functions ID 28.15.E1

λ ν ⁡ ( q ) = ν 2 + 1 2 ⁢ ( ν 2 - 1 ) ⁢ q 2 + 5 ⁢ ν 2 + 7 32 ⁢ ( ν 2 - 1 ) 3 ⁢ ( ν 2 - 4 ) ⁢ q 4 + 9 ⁢ ν 4 + 58 ⁢ ν 2 + 29 64 ⁢ ( ν 2 - 1 ) 5 ⁢ ( ν 2 - 4 ) ⁢ ( ν 2 - 9 ) ⁢ q 6 + ⋯ . Mathieu-eigenvalue-lambda 𝜈 𝑞 superscript 𝜈 2 1 2 superscript 𝜈 2 1 superscript 𝑞 2 5 superscript 𝜈 2 7 32 superscript superscript 𝜈 2 1 3 superscript 𝜈 2 4 superscript 𝑞 4 9 superscript 𝜈 4 58 superscript 𝜈 2 29 64 superscript superscript 𝜈 2 1 5 superscript 𝜈 2 4 superscript 𝜈 2 9 superscript 𝑞 6 ⋯ {\displaystyle{\displaystyle\lambda_{\nu}\left(q\right)=\nu^{2}+\frac{1}{2(\nu% ^{2}-1)}q^{2}+\frac{5\nu^{2}+7}{32(\nu^{2}-1)^{3}(\nu^{2}-4)}q^{4}+\frac{9\nu^% {4}+58\nu^{2}+29}{64(\nu^{2}-1)^{5}(\nu^{2}-4)(\nu^{2}-9)}q^{6}+\cdots.}}


Constraint(s)

Symbols List

  • λ ν + 2 ⁢ n ⁡ ( q ) Mathieu-eigenvalue-lambda 𝜈 2 𝑛 𝑞 {\displaystyle{\displaystyle\lambda_{\NVar{\nu+2n}}\left(\NVar{q}\right)}} :
  • q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}} : parameter
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:9018&oldid=11935350"
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 10:30.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki