FLINT3.7.0-dev

_acb_hypgeom_bessel_j_series, acb_hypgeom_bessel_j_series

Synopsis#include <flint/acb_hypgeom.h>
void _acb_hypgeom_bessel_j_series(acb_ptr res, const acb_t nu, acb_srcptr z, slong zlen, slong len, slong prec)source
void acb_hypgeom_bessel_j_series(acb_poly_t res, const acb_t nu, const acb_poly_t z, slong len, slong prec)source

Sets res to J_\nu(z) for the constant \nu and the power series z, truncated to length len. Both functions call the generic _gr_poly_bessel_j_series with a complex ball context; as described for arb_hypgeom_bessel_j_series, the result is indeterminate if the constant term of z is an inexact ball containing zero.

Cite this page

The FLINT team, “_acb_hypgeom_bessel_j_series, acb_hypgeom_bessel_j_series (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_series.html (generated 2026-10-20).