arb_hypgeom_gamma_upper
Synopsis
#include <flint/arb_hypgeom.h>void arb_hypgeom_gamma_upper(arb_t res, const arb_t s, const arb_t z, int regularized, slong prec)sourceSets res to the upper incomplete gamma function \Gamma(s,z) = \int_z^\infty t^{s-1} e^{-t} dt if regularized is 0, to Q(s,z) = \Gamma(s,z)/\Gamma(s) if regularized is 1, and to z^{-s} \Gamma(s,z) = E_{1-s}(z) if regularized is 2. Wrapper of acb_hypgeom_gamma_upper.
The value is real for z > 0, and for z < 0 only in special cases (such as s a positive integer). Option 2 is mainly for internal use; arb_hypgeom_expint is the interface for the exponential integral.
Cite this page
The FLINT team, “arb_hypgeom_gamma_upper (arb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_hypgeom/arb_hypgeom_gamma_upper.html (generated 2026-10-20).
@misc{flint-doc-arb-hypgeom-arb-hypgeom-gamma-upper,
author = {{The FLINT team}},
title = {{arb\_hypgeom\_gamma\_upper (arb\_hypgeom.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/arb_hypgeom/arb_hypgeom_gamma_upper.html},
note = {Generated 2026-10-20}
}