_arb_hypgeom_erf_series, arb_hypgeom_erf_series, _arb_hypgeom_erfc_series, arb_hypgeom_erfc_series, _arb_hypgeom_erfi_series, arb_hypgeom_erfi_series
Synopsis
#include <flint/arb_hypgeom.h>void arb_hypgeom_erf_series(arb_poly_t res, const arb_poly_t z, slong len, slong prec)sourcevoid arb_hypgeom_erfc_series(arb_poly_t res, const arb_poly_t z, slong len, slong prec)sourcevoid arb_hypgeom_erfi_series(arb_poly_t res, const arb_poly_t z, slong len, slong prec)sourceSets res to \operatorname{erf}, \operatorname{erfc} or \operatorname{erfi} of the power series z, truncated to length len.
The constant term is computed with the scalar function; the other coefficients come from integrating \pm\frac{2}{\sqrt\pi} z'(x) e^{\mp z(x)^2} as a power series.
Cite this page
The FLINT team, “_arb_hypgeom_erf_series, arb_hypgeom_erf_series, _arb_hypgeom_erfc_series, arb_hypgeom_erfc_series, _arb_hypgeom_erfi_series, arb_hypgeom_erfi_series (arb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_hypgeom/_arb_hypgeom_erf_series.html (generated 2026-10-20).
@misc{flint-doc-arb-hypgeom-arb-hypgeom-erf-series,
author = {{The FLINT team}},
title = {{\_arb\_hypgeom\_erf\_series, arb\_hypgeom\_erf\_series, \_arb\_hypgeom\_erfc\_series, arb\_hypgeom\_erfc\_series, \_arb\_hypgeom\_erfi\_series, arb\_hypgeom\_erfi\_series (arb\_hypgeom.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/arb_hypgeom/_arb_hypgeom_erf_series.html},
note = {Generated 2026-10-20}
}