gr_gamma_upper, gr_gamma_lower
Synopsis
#include <flint/gr_special.h>Set res to the incomplete gamma functions with parameter s = x and argument z = y: if regularized is 0, the upper function \Gamma(s, z) = \int_z^\infty t^{s-1} e^{-t} \, dt and the lower function \gamma(s, z) = \int_0^z t^{s-1} e^{-t} \, dt; if 1, the regularized versions Q(s, z) = \Gamma(s,z)/\Gamma(s) and P(s,z) = \gamma(s,z)/\Gamma(s); if 2, z^{-s} \Gamma(s, z) and \gamma^*(s, z) = z^{-s} P(s, z), as for acb_hypgeom_gamma_upper and acb_hypgeom_gamma_lower.
Cite this page
The FLINT team, “gr_gamma_upper, gr_gamma_lower (gr_special.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_special/gr_gamma_upper.html (generated 2026-10-20).
@misc{flint-doc-gr-special-gr-gamma-upper,
author = {{The FLINT team}},
title = {{gr\_gamma\_upper, gr\_gamma\_lower (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_gamma_upper.html},
note = {Generated 2026-10-20}
}