Formula:10202

Digital Library of Mathematical Functions ID 33.3.E1

${\displaystyle{\displaystyle M_{\ell}\left(\eta,\rho\right)=({F_{\ell}^{2}}\left(\eta,\rho\right)+{G_{\ell}^{2}}\left(\eta,\rho\right))^{1/2}=\left|{H^{\pm}_{\ell}}\left(\eta,\rho\right)\right|.}}$

Symbols List

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

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