FLINT3.7.0-dev

CoulombF, CoulombG, CoulombH, CoulombC, CoulombSigma

Synopsis#include <flint/fexpr_builtin.h>
CoulombF
CoulombG
CoulombH
CoulombC
CoulombSigma

Coulomb wave functions: the regular and irregular functions CoulombF(ell, eta, z) (Fℓ,η(z)F_{\ell,\eta}(z)) and CoulombG(ell, eta, z) (Gℓ,η(z)G_{\ell,\eta}(z)), the combination CoulombH(omega, ell, eta, z) (Hℓ,ηω(z)H^{\omega}_{\ell,\eta}(z)), equal to G±iFG \pm i F for ω=±1\omega = \pm 1, the normalising constant CoulombC(ell, eta) (Cℓ ⁣(η)C_{\ell}\!\left(\eta\right)) and the Coulomb phase shift CoulombSigma(ell, eta) (σℓ ⁣(η)\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 2026-11-02).