FLINT3.7.0-dev

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 2026-10-20).