FLINT3.7.0-dev

_gr_poly_bessel_j_series, gr_poly_bessel_j_series

Synopsis#include <flint/gr_poly.h>
int _gr_poly_bessel_j_series(gr_ptr res, gr_srcptr nu, gr_srcptr z, slong zlen, slong len, gr_ctx_t ctx)source
int gr_poly_bessel_j_series(gr_poly_t res, gr_srcptr nu, const gr_poly_t z, slong len, gr_ctx_t ctx)source

Sets res to the Bessel function J_\nu(z) \bmod x^{\mathit{len}} of the first kind for a power series z, by computing the Taylor coefficients of J_\nu at z(0) with gr_bessel_j_jet and composing them with z - z(0). The underscore version allows aliasing.

Cite this page

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