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Formula:9511

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Digital Library of Mathematical Functions ID 30.2.E1

d d z ⁡ ( ( 1 - z 2 ) ⁢ d w d z ) + ( λ + γ 2 ⁢ ( 1 - z 2 ) - μ 2 1 - z 2 ) ⁢ w = 0 . derivative 𝑧 1 superscript 𝑧 2 derivative 𝑤 𝑧 𝜆 superscript 𝛾 2 1 superscript 𝑧 2 superscript 𝜇 2 1 superscript 𝑧 2 𝑤 0 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}z}\left((1-z^{2})\frac% {\mathrm{d}w}{\mathrm{d}z}\right)+\left(\lambda+\gamma^{2}(1-z^{2})-\frac{\mu^% {2}}{1-z^{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 $$x$$
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • 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
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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