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Formula:9803

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Digital Library of Mathematical Functions ID 31.12.E4

d 2 w d z 2 + ( γ + z ) ⁢ z ⁢ d w d z + ( α ⁢ z - q ) ⁢ w = 0 . derivative 𝑤 𝑧 2 𝛾 𝑧 𝑧 derivative 𝑤 𝑧 𝛼 𝑧 𝑞 𝑤 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+\left(% \gamma+z\right)z\frac{\mathrm{d}w}{\mathrm{d}z}+\left(\alpha z-q\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
  • γ 𝛾 {\displaystyle{\displaystyle\gamma}} : real or complex parameter
  • q 𝑞 {\displaystyle{\displaystyle q}} : real or complex parameter
  • α 𝛼 {\displaystyle{\displaystyle\alpha}} : real or complex parameter
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This page was last edited on 28 January 2024, at 10:30.
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