FLINT3.7.0-dev

acb_hypgeom_bessel_j_deriv_bound

Synopsis#include <flint/acb_hypgeom.h>
void acb_hypgeom_bessel_j_deriv_bound(mag_t res, const acb_t nu, const acb_t z, ulong d)source

Sets res to an upper bound, possibly crude, for |J_\nu^{(d)}(z)| (|J_\nu(z)| for d = 0). Implemented only for integer \nu, using for example |J_n^{(d)}(z)| \le e^{|\operatorname{Im} z|}; for non-integer \nu the bound is infinite.

Cite this page

The FLINT team, “acb_hypgeom_bessel_j_deriv_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_bessel_j_deriv_bound.html (generated 2026-10-20).