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Formula:9232

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Digital Library of Mathematical Functions ID 28.31.E18

w ′′ + ( η - 1 8 ⁢ ξ 2 - ( p + 1 ) ⁢ ξ ⁢ cos ⁡ ( 2 ⁢ z ) + 1 8 ⁢ ξ 2 ⁢ cos ⁡ ( 4 ⁢ z ) ) ⁢ w = 0 , superscript 𝑤 ′′ 𝜂 1 8 superscript 𝜉 2 𝑝 1 𝜉 2 𝑧 1 8 superscript 𝜉 2 4 𝑧 𝑤 0 {\displaystyle{\displaystyle w^{\prime\prime}+\left(\eta-\tfrac{1}{8}\xi^{2}-(% p+1)\xi\cos\left(2z\right)+\tfrac{1}{8}\xi^{2}\cos\left(4z\right)\right)w=0,}}


Constraint(s)

Symbols List

  • cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}} : Mathieu’s equation solution
  • η 𝜂 {\displaystyle{\displaystyle\eta}} : change of variable
  •  Edit this on Wikidata

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