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Formula:10301

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Digital Library of Mathematical Functions ID 33.14.E1

d 2 w d r 2 + ( ϵ + 2 r - ℓ ⁢ ( ℓ + 1 ) r 2 ) ⁢ w = 0 , derivative 𝑤 𝑟 2 italic-ϵ 2 𝑟 ℓ ℓ 1 superscript 𝑟 2 𝑤 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}r}^{2}}+\left(% \epsilon+\frac{2}{r}-\frac{\ell(\ell+1)}{r^{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 $$x$$
  • ℓ ℓ {\displaystyle{\displaystyle\ell}} : nonnegative integer
  • r 𝑟 {\displaystyle{\displaystyle r}} : real variable
  • ϵ italic-ϵ {\displaystyle{\displaystyle\epsilon}} : real parameter
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 02:55.
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