arb_hypgeom_gamma_upper_integration
Synopsis
#include <flint/arb_hypgeom.h>void arb_hypgeom_gamma_upper_integration(arb_t res, const arb_t s, const arb_t z, int regularized, slong prec)sourceComputes the upper incomplete gamma function (with the same meaning of regularized as arb_hypgeom_gamma_upper) from \Gamma(s,z) = z^s e^{-z} U(1, 1+s, z), using arb_hypgeom_u_integration. The result is finite only for z > 0. acb_hypgeom_gamma_upper uses it as a fallback for real arguments.
Cite this page
The FLINT team, “arb_hypgeom_gamma_upper_integration (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_integration.html (generated 2026-10-20).
@misc{flint-doc-arb-hypgeom-arb-hypgeom-gamma-upper-integration,
author = {{The FLINT team}},
title = {{arb\_hypgeom\_gamma\_upper\_integration (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_integration.html},
note = {Generated 2026-10-20}
}