Formula:10196

Digital Library of Mathematical Functions ID 33.2.E9

${\displaystyle{\displaystyle{\theta_{\ell}}\left(\eta,\rho\right)=\rho-\eta\ln\left(2\rho\right)-\tfrac{1}{2}\ell\pi+{\sigma_{\ell}}\left(\eta\right),}}$

Symbols List

• ${\displaystyle{\displaystyle{\sigma_{\NVar{\ell}}}\left(\NVar{\eta}\right)}}$: Coulomb phase shift
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle\ell}}$: nonnegative integer
• ${\displaystyle{\displaystyle\rho}}$: nonnegative real variable
• ${\displaystyle{\displaystyle\eta}}$: real parameter
 

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