acb_hypgeom_gamma_stirling_sum_horner, acb_hypgeom_gamma_stirling_sum_improved
Synopsis
#include <flint/acb_hypgeom.h>void acb_hypgeom_gamma_stirling_sum_improved(acb_t s, const acb_t z, slong N, slong K, slong prec)sourceSets s to \sum_{n=1}^{N-1} B_{2n} / (2n(2n-1) z^{2n-1}), the sum in the Stirling series truncated before the term of index N, using Horner's scheme or the improved algorithm with splitting parameter K (0 to choose it), as arb_hypgeom_gamma_stirling_sum_horner and arb_hypgeom_gamma_stirling_sum_improved do for real z. No bound for the truncation error is added.
Cite this page
The FLINT team, “acb_hypgeom_gamma_stirling_sum_horner, acb_hypgeom_gamma_stirling_sum_improved (acb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_gamma_stirling_sum_horner.html (generated 2026-10-20).
@misc{flint-doc-acb-hypgeom-acb-hypgeom-gamma-stirling-sum-horner,
author = {{The FLINT team}},
title = {{acb\_hypgeom\_gamma\_stirling\_sum\_horner, acb\_hypgeom\_gamma\_stirling\_sum\_improved (acb\_hypgeom.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_gamma_stirling_sum_horner.html},
note = {Generated 2026-10-20}
}