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Formula:8993

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Digital Library of Mathematical Functions ID 28.12.E3

λ m ⁡ ( q ) = { a m ⁡ ( q ) , m = 0 , 1 , … , b - m ⁡ ( q ) , m = - 1 , - 2 , … . Mathieu-eigenvalue-lambda 𝑚 𝑞 cases Mathieu-eigenvalue-a 𝑚 𝑞 𝑚 0 1 … Mathieu-eigenvalue-b 𝑚 𝑞 𝑚 1 2 … {\displaystyle{\displaystyle\lambda_{m}\left(q\right)=\begin{cases}a_{m}\left(% q\right),&m=0,1,\dots,\\ b_{-m}\left(q\right),&m=-1,-2,\dots.\end{cases}}}


Constraint(s)

Symbols List

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

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This page was last edited on 28 January 2024, at 10:30.
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