arb_hypgeom_fresnel
Synopsis
#include <flint/arb_hypgeom.h>Sets res1 to the Fresnel sine integral S(z) and res2 to the Fresnel cosine integral C(z); either output may be NULL. If normalized is 0, S(z) = \int_0^z \sin(t^2) dt and C(z) = \int_0^z \cos(t^2) dt; if normalized is 1, S(z) = \int_0^z \sin(\tfrac12 \pi t^2) dt and C(z) = \int_0^z \cos(\tfrac12 \pi t^2) dt, the convention of Abramowitz and Stegun and of the DLMF [NIST2012]. Wrapper of acb_hypgeom_fresnel.
References#
- [NIST2012] National Institute of Standards and Technology, Digital Library of Mathematical Functions (2012), https://dlmf.nist.gov/
Cite this page
The FLINT team, “arb_hypgeom_fresnel (arb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_hypgeom/arb_hypgeom_fresnel.html (generated 2026-10-20).
@misc{flint-doc-arb-hypgeom-arb-hypgeom-fresnel,
author = {{The FLINT team}},
title = {{arb\_hypgeom\_fresnel (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_fresnel.html},
note = {Generated 2026-10-20}
}