acb_asin, acb_acos, acb_atan
Synopsis
#include <flint/acb.h>Set r to \operatorname{asin} z = -i \log(iz + \sqrt{1 - z^2}), \operatorname{acos} z = \pi/2 - \operatorname{asin} z, respectively \operatorname{atan} z = \tfrac{i}{2} (\log(1 - iz) - \log(1 + iz)). The branch cuts are (-\infty, -1) \cup (1, \infty) for \operatorname{asin} and \operatorname{acos}, and (-i\infty, -i) \cup (i, i\infty) for \operatorname{atan}.
Cite this page
The FLINT team, “acb_asin, acb_acos, acb_atan (acb.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb/acb_asin.html (generated 2026-10-20).
@misc{flint-doc-acb-acb-asin,
author = {{The FLINT team}},
title = {{acb\_asin, acb\_acos, acb\_atan (acb.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb/acb_asin.html},
note = {Generated 2026-10-20}
}