_arb_poly_sinc_series, arb_poly_sinc_series, _arb_poly_sinc_pi_series, arb_poly_sinc_pi_series
Synopsis
#include <flint/arb_poly.h>void arb_poly_sinc_series(arb_poly_t s, const arb_poly_t h, slong n, slong prec)sourcevoid arb_poly_sinc_pi_series(arb_poly_t s, const arb_poly_t h, slong n, slong prec)sourceSet 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, “_arb_poly_sinc_series, arb_poly_sinc_series, _arb_poly_sinc_pi_series, arb_poly_sinc_pi_series (arb_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_poly/_arb_poly_sinc_series.html (generated 2026-10-20).
@misc{flint-doc-arb-poly-arb-poly-sinc-series,
author = {{The FLINT team}},
title = {{\_arb\_poly\_sinc\_series, arb\_poly\_sinc\_series, \_arb\_poly\_sinc\_pi\_series, arb\_poly\_sinc\_pi\_series (arb\_poly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/arb_poly/_arb_poly_sinc_series.html},
note = {Generated 2026-10-20}
}