33 Coulomb FunctionsVariables $\rho ,\eta $33.2 Definitions and Basic Properties33.4 Recurrence Relations and Derivatives

- §33.3(i) Line Graphs of the Coulomb Radial Functions ${F}_{\mathrm{\ell}}(\eta ,\rho )$ and ${G}_{\mathrm{\ell}}(\eta ,\rho )$
- §33.3(ii) Surfaces of the Coulomb Radial Functions ${F}_{0}(\eta ,\rho )$ and ${G}_{0}(\eta ,\rho )$

33.3.1 | $${M}_{\mathrm{\ell}}(\eta ,\rho )={({{F}_{\mathrm{\ell}}}^{2}(\eta ,\rho )+{{G}_{\mathrm{\ell}}}^{2}(\eta ,\rho ))}^{1/2}=\left|{H}_{\mathrm{\ell}}^{\pm}(\eta ,\rho )\right|.$$ | ||