CoulombF, CoulombG, CoulombH, CoulombC, CoulombSigma
Synopsis
#include <flint/fexpr_builtin.h>CoulombFCoulombGCoulombHCoulombCCoulombSigmaCoulomb wave functions: the regular and irregular functions CoulombF(ell, eta, z) (F_{\ell,\eta}(z)) and CoulombG(ell, eta, z) (G_{\ell,\eta}(z)), the combination CoulombH(omega, ell, eta, z) (H^{\omega}_{\ell,\eta}(z)), equal to G \pm i F for \omega = \pm 1, the normalising constant CoulombC(ell, eta) (C_{\ell}\!\left(\eta\right)) and the Coulomb phase shift CoulombSigma(ell, eta) (\sigma_{\ell}\!\left(\eta\right)).
Cite this page
The FLINT team, “CoulombF, CoulombG, CoulombH, CoulombC, CoulombSigma (fexpr_builtin.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fexpr_builtin/CoulombF.html (generated 2026-10-20).
@misc{flint-doc-fexpr-builtin-CoulombF,
author = {{The FLINT team}},
title = {{CoulombF, CoulombG, CoulombH, CoulombC, CoulombSigma (fexpr\_builtin.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fexpr_builtin/CoulombF.html},
note = {Generated 2026-10-20}
}