`arb_hypgeom_airy_jet`

Synopsis#include <flint/arb_hypgeom.h>

void arb_hypgeom_airy_jet(arb_ptr ai, arb_ptr bi, const arb_t z, slong len, slong prec)source

Sets the vectors ai and bi to the Taylor coefficients of $\operatorname{Ai}$ and $\operatorname{Bi}$ at the point $z$ , truncated to length len. Either output may be NULL; $z$ must not alias the outputs.

The coefficients follow from the function values and their first derivatives at $z$ and the recurrence implied by $y'' = zy$ . The expansions of $\operatorname{Ai}'$ and $\operatorname{Bi}'$ are not returned separately: compute one more coefficient and differentiate with _arb_poly_derivative.

Cite this page

The FLINT team, “arb_hypgeom_airy_jet (arb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_hypgeom/arb_hypgeom_airy_jet.html (generated 2026-11-02).

@misc{flint-doc-arb-hypgeom-arb-hypgeom-airy-jet,
  author       = {{The FLINT team}},
  title        = {{arb\_hypgeom\_airy\_jet (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_airy_jet.html},
  note         = {Generated 2026-11-02}
}

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