FLINT3.7.0-dev

_acb_poly_sinc_series, acb_poly_sinc_series, _acb_poly_sinc_pi_series, acb_poly_sinc_pi_series

Synopsis#include <flint/acb_poly.h>
void _acb_poly_sinc_series(acb_ptr s, acb_srcptr h, slong hlen, slong n, slong prec)source
void acb_poly_sinc_series(acb_poly_t s, const acb_poly_t h, slong n, slong prec)source
void _acb_poly_sinc_pi_series(acb_ptr s, acb_srcptr h, slong hlen, slong n, slong prec)source
void acb_poly_sinc_pi_series(acb_poly_t s, const acb_poly_t h, slong n, slong prec)source

Set s to \operatorname{sinc} h = \sin(h)/h or to \operatorname{sinc}(\pi h) truncated to length n. A constant term that contains zero is handled through the Taylor series of \operatorname{sinc} on a ball around zero, so that the removable singularity does not cause a division by zero.

Cite this page

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