acb_lgamma
Synopsis
#include <flint/acb.h>Sets y to \log \Gamma(x), an alias of acb_hypgeom_lgamma.
The branch cut is on the negative real axis, so that \log \Gamma(z) + \log z = \log \Gamma(z + 1) holds for all z, whereas \log \Gamma(z) \ne \log(\Gamma(z)) in general. In the left half plane, the reflection formula is evaluated with the correct branch structure via acb_log_sin_pi.
Guides#
Cite this page
The FLINT team, “acb_lgamma (acb.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb/acb_lgamma.html (generated 2026-10-20).
@misc{flint-doc-acb-acb-lgamma,
author = {{The FLINT team}},
title = {{acb\_lgamma (acb.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb/acb_lgamma.html},
note = {Generated 2026-10-20}
}