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Formula:10234

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Digital Library of Mathematical Functions ID 33.8.E1

F ℓ ′ F ℓ = S ℓ + 1 - R ℓ + 1 2 T ℓ + 1 - R ℓ + 2 2 T ℓ + 2 - ⋯ . diffop regular-Coulomb-F ℓ 1 regular-Coulomb-F ℓ subscript 𝑆 ℓ 1 continued-fraction superscript subscript 𝑅 ℓ 1 2 subscript 𝑇 ℓ 1 continued-fraction superscript subscript 𝑅 ℓ 2 2 subscript 𝑇 ℓ 2 ⋯ {\displaystyle{\displaystyle\frac{F_{\ell}'}{F_{\ell}}=S_{\ell+1}-\cfrac{R_{% \ell+1}^{2}}{T_{\ell+1}-\cfrac{R_{\ell+2}^{2}}{T_{\ell+2}-\cdots}}.}}


Constraint(s)

Symbols List

  • F ℓ ⁡ ( η , ρ ) regular-Coulomb-F ℓ 𝜂 𝜌 {\displaystyle{\displaystyle F_{\NVar{\ell}}\left(\NVar{\eta},\NVar{\rho}% \right)}} : regular Coulomb radial function
  • ℓ ℓ {\displaystyle{\displaystyle\ell}} : nonnegative integer
  • R ℓ subscript 𝑅 ℓ {\displaystyle{\displaystyle R_{\ell}}} : factor
  • S ℓ subscript 𝑆 ℓ {\displaystyle{\displaystyle S_{\ell}}} : factor
  • T ℓ subscript 𝑇 ℓ {\displaystyle{\displaystyle T_{\ell}}} : factor
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This page was last edited on 28 January 2024, at 10:30.
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