`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)source

Sets 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 2026-11-02).

@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 2026-11-02}
}

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