DLMF:

33 Coulomb Functions Variables $\rho,\eta$ 33.3 Graphics 33.3 Graphics 33.4 Recurrence Relations and Derivatives

Figure 33.3.4 (See in context.)

Figure 33.3.4: $\mathop{F_{{\ell}}\/}\nolimits\!\left(\eta,\rho\right)$ , $\mathop{G_{{\ell}}\/}\nolimits\!\left(\eta,\rho\right)$ with $\ell=0$ , $\eta=10$ . The turning point is at $\mathop{\rho_{{\mathrm{tp}}}\/}\nolimits\!\left(10,0\right)=20$ .

Annotations:

Symbols:: $\mathop{\rho_{{\mathrm{tp}}}\/}\nolimits\!\left(\eta,\ell\right)$ : outer turning point for Coulomb radial functions, $\mathop{G_{{\ell}}\/}\nolimits\!\left(\eta,\rho\right)$ : irregular Coulomb radial function, $\mathop{F_{{\ell}}\/}\nolimits\!\left(\eta,\rho\right)$ : regular Coulomb radial function, $\ell$ : nonnegative integer, $\rho$ : nonnegative real variable and $\eta$ : real parameter
Permalink:: http://dlmf.nist.gov/33.3.F4.mag
Encodings:: Magnified png, pdf

© 2010–2013 NIST / Privacy Policy / Disclaimer / Feedback; Version 1.0.6; Release date 2013-05-06 Math-Image version (See MathML) . A Printed Companionis available. 33.3 Graphics 33.4 Recurrence Relations and Derivatives