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Formula:8847

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Digital Library of Mathematical Functions ID 28.2.E11

w I ⁢ ( π ; a , q ) + 1 = 2 ⁢ w I ⁢ ( 1 2 ⁢ π ; a , q ) ⁢ w II ′ ⁢ ( 1 2 ⁢ π ; a , q ) , subscript 𝑤 I 𝜋 𝑎 𝑞 1 2 subscript 𝑤 I 1 2 𝜋 𝑎 𝑞 subscript superscript 𝑤 ′ II 1 2 𝜋 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny I}}(\pi;a,q)+1=2w_{\mbox{\tiny I}}% (\tfrac{1}{2}\pi;a,q)w^{\prime}_{\mbox{\tiny II}}(\tfrac{1}{2}\pi;a,q),}}


Constraint(s)

Symbols List

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