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Formula:8858

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Digital Library of Mathematical Functions ID 28.2.E22

w II ′ ⁢ ( 1 2 ⁢ π ; a , q ) = 0 , a = b 2 ⁢ n + 1 ⁡ ( q ) , w II ⁢ ( 1 2 ⁢ π ; a , q ) = 0 , a = b 2 ⁢ n + 2 ⁡ ( q ) , subscript superscript 𝑤 ′ II 1 2 𝜋 𝑎 𝑞 0 𝑎 Mathieu-eigenvalue-b 2 𝑛 1 𝑞 subscript 𝑤 II 1 2 𝜋 𝑎 𝑞 0 𝑎 Mathieu-eigenvalue-b 2 𝑛 2 𝑞 {\displaystyle{\displaystyle\begin{array}[]{ll}w^{\prime}_{\mbox{\tiny II}}(% \tfrac{1}{2}\pi;a,q)=0,&a=b_{2n+1}\left(q\right),\\ w_{\mbox{\tiny II}}(\tfrac{1}{2}\pi;a,q)=0,&a=b_{2n+2}\left(q\right),\end{% array}}}


Constraint(s)

Symbols List

  • b n ⁡ ( q ) Mathieu-eigenvalue-b 𝑛 𝑞 {\displaystyle{\displaystyle b_{\NVar{n}}\left(\NVar{q}\right)}} :
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}} : parameter
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • a 𝑎 {\displaystyle{\displaystyle a}} : parameter
  • w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}} : Mathieu’s equation solution
  • w II ⁢ ( z ; a , q ) subscript 𝑤 II 𝑧 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny II}}(z;a,q)}} : fundamental solution
  •  Edit this on Wikidata

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