Formula:10243

Digital Library of Mathematical Functions ID 33.9.E1

${\displaystyle{\displaystyle F_{\ell}\left(\eta,\rho\right)=\rho\sum_{k=0}^{\infty}a_{k}\mathsf{j}_{\ell+k}\left(\rho\right),}}$

Symbols List

• ${\displaystyle{\displaystyle F_{\NVar{\ell}}\left(\NVar{\eta},\NVar{\rho}\right)}}$: regular Coulomb radial function
• ${\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}$: spherical Bessel function of the first kind
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle\ell}}$: nonnegative integer
• ${\displaystyle{\displaystyle\rho}}$: nonnegative real variable
• ${\displaystyle{\displaystyle\eta}}$: real parameter
• ${\displaystyle{\displaystyle a_{k}}}$: coefficients
 

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