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Formula:9801

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Digital Library of Mathematical Functions ID 31.12.E2

d 2 w d z 2 + ( δ z 2 + γ z + 1 ) ⁢ d w d z + α ⁢ z - q z 2 ⁢ w = 0 . derivative 𝑤 𝑧 2 𝛿 superscript 𝑧 2 𝛾 𝑧 1 derivative 𝑤 𝑧 𝛼 𝑧 𝑞 superscript 𝑧 2 𝑤 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+\left(% \frac{\delta}{z^{2}}+\frac{\gamma}{z}+1\right)\frac{\mathrm{d}w}{\mathrm{d}z}+% \frac{\alpha z-q}{z^{2}}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
  • γ 𝛾 {\displaystyle{\displaystyle\gamma}} : real or complex parameter
  • δ 𝛿 {\displaystyle{\displaystyle\delta}} : real or complex parameter
  • q 𝑞 {\displaystyle{\displaystyle q}} : real or complex parameter
  • α 𝛼 {\displaystyle{\displaystyle\alpha}} : real or complex parameter
  •  Edit this on Wikidata

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