Formula:10201

Digital Library of Mathematical Functions ID 33.2.E13

${\displaystyle{\displaystyle F_{\ell-1}G_{\ell}-F_{\ell}G_{\ell-1}=\ell/(\ell^{2}+\eta^{2})^{1/2},}}$

Constraint(s)

${\displaystyle{\displaystyle\ell\geq 1}}$

Symbols List

• ${\displaystyle{\displaystyle G_{\NVar{\ell}}\left(\NVar{\eta},\NVar{\rho}\right)}}$: irregular Coulomb radial function
• ${\displaystyle{\displaystyle F_{\NVar{\ell}}\left(\NVar{\eta},\NVar{\rho}\right)}}$: regular Coulomb radial function
• ${\displaystyle{\displaystyle\ell}}$: nonnegative integer
• ${\displaystyle{\displaystyle\eta}}$: real parameter
 

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