gr_coulomb, gr_coulomb_f, gr_coulomb_g, gr_coulomb_hpos, gr_coulomb_hneg
Synopsis
#include <flint/gr_special.h>int gr_coulomb(gr_ptr res1, gr_ptr res2, gr_ptr res3, gr_ptr res4, gr_srcptr x, gr_srcptr y, gr_srcptr z, gr_ctx_t ctx)sourceSet res to the Coulomb wave functions F_\ell(\eta, z), G_\ell(\eta, z), H^{+}_\ell(\eta, z) and H^{-}_\ell(\eta, z) with \ell = x, \eta = y and argument z; gr_coulomb computes all four (as acb_hypgeom_coulomb).
Cite this page
The FLINT team, “gr_coulomb, gr_coulomb_f, gr_coulomb_g, gr_coulomb_hpos, gr_coulomb_hneg (gr_special.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_special/gr_coulomb.html (generated 2026-10-20).
@misc{flint-doc-gr-special-gr-coulomb,
author = {{The FLINT team}},
title = {{gr\_coulomb, gr\_coulomb\_f, gr\_coulomb\_g, gr\_coulomb\_hpos, gr\_coulomb\_hneg (gr\_special.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/gr_special/gr_coulomb.html},
note = {Generated 2026-10-20}
}