acb_hypgeom_coulomb
Synopsis
#include <flint/acb_hypgeom.h>All four are computed from U(1 + \ell \pm i\eta, 2\ell + 2, \mp 2iz) (by the asymptotic expansion when |z| is large, by acb_hypgeom_u otherwise) and the log-gamma values \log\Gamma(1 + \ell \pm i\eta), with formulas chosen according to the sign of \operatorname{Re} z and \operatorname{Im} z so that each output is continuous across the real axis except on the branch cut.
Cite this page
The FLINT team, “acb_hypgeom_coulomb (acb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_coulomb.html (generated 2026-10-20).
@misc{flint-doc-acb-hypgeom-acb-hypgeom-coulomb,
author = {{The FLINT team}},
title = {{acb\_hypgeom\_coulomb (acb\_hypgeom.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_coulomb.html},
note = {Generated 2026-10-20}
}