acb_hypgeom_gamma_lower
Synopsis
#include <flint/acb_hypgeom.h>void acb_hypgeom_gamma_lower(acb_t res, const acb_t s, const acb_t z, int regularized, slong prec)sourceSets res to the lower incomplete gamma function \gamma(s,z) = \int_0^z t^{s-1} e^{-t} dt = \frac{z^s}{s} {}_1F_1(s, s+1, -z) if regularized is 0, to P(s,z) = \gamma(s,z) / \Gamma(s) if regularized is 1, and to \gamma^{*}(s,z) = z^{-s} P(s,z), which is entire in s and z, if regularized is 2.
Cite this page
The FLINT team, “acb_hypgeom_gamma_lower (acb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_gamma_lower.html (generated 2026-10-20).
@misc{flint-doc-acb-hypgeom-acb-hypgeom-gamma-lower,
author = {{The FLINT team}},
title = {{acb\_hypgeom\_gamma\_lower (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_gamma_lower.html},
note = {Generated 2026-10-20}
}