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Formula:9515

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Digital Library of Mathematical Functions ID 30.2.E4

( ζ 2 - γ 2 ) ⁢ d 2 w d ζ 2 + 2 ⁢ ζ ⁢ d w d ζ + ( ζ 2 - λ - γ 2 - γ 2 ⁢ μ 2 ζ 2 - γ 2 ) ⁢ w = 0 . superscript 𝜁 2 superscript 𝛾 2 derivative 𝑤 𝜁 2 2 𝜁 derivative 𝑤 𝜁 superscript 𝜁 2 𝜆 superscript 𝛾 2 superscript 𝛾 2 superscript 𝜇 2 superscript 𝜁 2 superscript 𝛾 2 𝑤 0 {\displaystyle{\displaystyle(\zeta^{2}-\gamma^{2})\frac{{\mathrm{d}}^{2}w}{{% \mathrm{d}\zeta}^{2}}+2\zeta\frac{\mathrm{d}w}{\mathrm{d}\zeta}+\left(\zeta^{2% }-\lambda-\gamma^{2}-\frac{\gamma^{2}\mu^{2}}{\zeta^{2}-\gamma^{2}}\right)w=0.}}


Constraint(s)

Symbols List

  • d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}} : derivative of $$f$$ with respect to $$x$$
  • w 𝑤 {\displaystyle{\displaystyle w}} : solution to DE
  • λ 𝜆 {\displaystyle{\displaystyle\lambda}} : real parameter
  • γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}} : real parameter
  • μ 𝜇 {\displaystyle{\displaystyle\mu}} : real parameter
  • ζ 𝜁 {\displaystyle{\displaystyle\zeta}} : parameter
  •  Edit this on Wikidata

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