acb_hypgeom_pfq_bound_factor
Synopsis
#include <flint/acb_hypgeom.h>void acb_hypgeom_pfq_bound_factor(mag_t C, acb_srcptr a, slong p, acb_srcptr b, slong q, const acb_t z, ulong n)sourceSets C to a factor such that \left|\sum_{k=n}^{\infty} T(k)\right| \le C |T(n)|. The bound is infinite if p > q, if \operatorname{Re}(b_i + n) > 0 fails for some i, or if n is too small for the term ratio to be bounded below 1, even when the series converges. See Convergent series.
Cite this page
The FLINT team, “acb_hypgeom_pfq_bound_factor (acb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_pfq_bound_factor.html (generated 2026-10-20).
@misc{flint-doc-acb-hypgeom-acb-hypgeom-pfq-bound-factor,
author = {{The FLINT team}},
title = {{acb\_hypgeom\_pfq\_bound\_factor (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_pfq_bound_factor.html},
note = {Generated 2026-10-20}
}