# §33.3 Graphics

## §33.3(i) Line Graphs of the Coulomb Radial Functions $\mathop{F_{\ell}\/}\nolimits\!\left(\eta,\rho\right)$ and $\mathop{G_{\ell}\/}\nolimits\!\left(\eta,\rho\right)$

In Figures 33.3.5 and 33.3.6

 33.3.1 $\mathop{M_{\ell}\/}\nolimits\!\left(\eta,\rho\right)=({\mathop{F_{\ell}\/}% \nolimits^{2}}\!\left(\eta,\rho\right)+{\mathop{G_{\ell}\/}\nolimits^{2}}\!% \left(\eta,\rho\right))^{1/2}=\left|\mathop{{H^{\pm}_{\ell}}\/}\nolimits\!% \left(\eta,\rho\right)\right|.$ Defines: $\mathop{M_{\ell}\/}\nolimits\!\left(\eta,\rho\right)$: envelope of Coulomb functions Symbols: $\mathop{G_{\ell}\/}\nolimits\!\left(\eta,\rho\right)$: irregular Coulomb radial function, $\mathop{{H^{\pm}_{\ell}}\/}\nolimits\!\left(\eta,\rho\right)$: irregular Coulomb radial functions, $\mathop{F_{\ell}\/}\nolimits\!\left(\eta,\rho\right)$: regular Coulomb radial function, $\ell$: nonnegative integer, $\rho$: nonnegative real variable and $\eta$: real parameter Permalink: http://dlmf.nist.gov/33.3.E1 Encodings: TeX, pMML, png