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Formula:8841

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Digital Library of Mathematical Functions ID 28.2.E5

[ w I ⁢ ( 0 ; a , q ) w II ⁢ ( 0 ; a , q ) w I ′ ⁢ ( 0 ; a , q ) w II ′ ⁢ ( 0 ; a , q ) ] = [ 1 0 0 1 ] . subscript 𝑤 I 0 𝑎 𝑞 subscript 𝑤 II 0 𝑎 𝑞 subscript superscript 𝑤 ′ I 0 𝑎 𝑞 subscript superscript 𝑤 ′ II 0 𝑎 𝑞 1 0 0 1 {\displaystyle{\displaystyle\begin{bmatrix}w_{\mbox{\tiny I}}(0;a,q)&w_{\mbox{% \tiny II}}(0;a,q)\\ w^{\prime}_{\mbox{\tiny I}}(0;a,q)&w^{\prime}_{\mbox{\tiny II}}(0;a,q)\end{% bmatrix}=\begin{bmatrix}1&0\\ 0&1\end{bmatrix}.}}


Constraint(s)

Symbols List

  • q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}} : parameter
  • a 𝑎 {\displaystyle{\displaystyle a}} : parameter
  • w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}} : Mathieu’s equation solution
  • w I ⁢ ( z ; a , q ) subscript 𝑤 I 𝑧 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny I}}(z;a,q)}} : fundamental 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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