acb_hypgeom_airy_bound
Synopsis
#include <flint/acb_hypgeom.h>void acb_hypgeom_airy_bound(mag_t ai, mag_t ai_prime, mag_t bi, mag_t bi_prime, const acb_t z)sourceSets the outputs to upper bounds for |\operatorname{Ai}(z)|, |\operatorname{Ai}'(z)|, |\operatorname{Bi}(z)|, |\operatorname{Bi}'(z)| on the ball z, from first-order asymptotic expansions with error bounds. This is faster than calling acb_hypgeom_airy_asymp with n = 1.
Cite this page
The FLINT team, “acb_hypgeom_airy_bound (acb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_airy_bound.html (generated 2026-10-20).
@misc{flint-doc-acb-hypgeom-acb-hypgeom-airy-bound,
author = {{The FLINT team}},
title = {{acb\_hypgeom\_airy\_bound (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_airy_bound.html},
note = {Generated 2026-10-20}
}