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Formula:10298

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Digital Library of Mathematical Functions ID 33.12.E8

d 2 w d z 2 = ( 4 ⁢ η 2 ⁢ ( 1 - z z ) + ℓ ⁢ ( ℓ + 1 ) z 2 ) ⁢ w . derivative 𝑤 𝑧 2 4 superscript 𝜂 2 1 𝑧 𝑧 ℓ ℓ 1 superscript 𝑧 2 𝑤 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}=\left(% 4\eta^{2}\left(\frac{1-z}{z}\right)+\frac{\ell(\ell+1)}{z^{2}}\right)w.}}


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
  • η 𝜂 {\displaystyle{\displaystyle\eta}} : real parameter
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This page was last edited on 3 March 2024, at 02:55.
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