Formula:10226

Digital Library of Mathematical Functions ID 33.6.E2

${\displaystyle{\displaystyle F_{\ell}'\left(\eta,\rho\right)=C_{\ell}\left(\eta\right)\sum_{k=\ell+1}^{\infty}kA_{k}^{\ell}(\eta)\rho^{k-1},}}$

Symbols List

• ${\displaystyle{\displaystyle C_{\NVar{\ell}}\left(\NVar{\eta}\right)}}$: normalizing constant for Coulomb radial functions
• ${\displaystyle{\displaystyle F_{\NVar{\ell}}\left(\NVar{\eta},\NVar{\rho}\right)}}$: regular Coulomb radial function
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle\ell}}$: nonnegative integer
• ${\displaystyle{\displaystyle\rho}}$: nonnegative real variable
• ${\displaystyle{\displaystyle\eta}}$: real parameter
• ${\displaystyle{\displaystyle A_{\ell+1}^{\ell}}}$: coefficient
 

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