acb_hypgeom_si_asymp, acb_hypgeom_si_1f2, acb_hypgeom_si
Synopsis
#include <flint/acb_hypgeom.h>Sets res to the sine integral \operatorname{Si}(z), computed respectively from
\operatorname{Si}(z) = \frac{i}{2} \left[
e^{iz} U(1,1,-iz) - e^{-iz} U(1,1,iz) +
\log(-iz) - \log(iz) \right],
\operatorname{Si}(z) = z\, {}_1F_2(\tfrac{1}{2}; \tfrac{3}{2}, \tfrac{3}{2}; -\tfrac{z^2}{4}),
or by an automatic choice. Real input is passed to arb_hypgeom_si.
Cite this page
The FLINT team, “acb_hypgeom_si_asymp, acb_hypgeom_si_1f2, acb_hypgeom_si (acb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_si_asymp.html (generated 2026-10-20).
@misc{flint-doc-acb-hypgeom-acb-hypgeom-si-asymp,
author = {{The FLINT team}},
title = {{acb\_hypgeom\_si\_asymp, acb\_hypgeom\_si\_1f2, acb\_hypgeom\_si (acb\_hypgeom.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_si_asymp.html},
note = {Generated 2026-10-20}
}