FLINT3.7.0-dev

gr_bessel_j_jet

Synopsis#include <flint/gr_special.h>
int gr_bessel_j_jet(gr_ptr res, gr_srcptr nu, gr_srcptr z, slong len, gr_ctx_t ctx)source

Sets res to the first len Taylor coefficients of J_\nu(z + t) at t = 0, that is, J_\nu^{(k)}(z) / k! for 0 \le k < \mathit{len} (the jet of J_\nu at z). This is a generic function, not a method: it computes J_\nu(z) and J_{\nu+1}(z) and then the higher coefficients by a three-term recurrence (https://fungrim.org/entry/9b2f38/), and uses the series expansion at z = 0 for integer \nu.

Cite this page

The FLINT team, “gr_bessel_j_jet (gr_special.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_special/gr_bessel_j_jet.html (generated 2026-10-20).