acb_hypgeom_2f1_continuation
Synopsis
#include <flint/acb_hypgeom.h>void acb_hypgeom_2f1_continuation(acb_t res0, acb_t res1, const acb_t a, const acb_t b, const acb_t c, const acb_t z0, const acb_t z1, const acb_t f0, const acb_t f1, slong prec)sourceGiven F(z_0) and F'(z_0) in f0 and f1, sets res0 and res1 to F(z_1) and F'(z_1), computed by integrating the hypergeometric differential equation along the straight segment from z_0 to z_1 with Taylor series and rigorous bounds. The points should be well isolated from the singular points 0 and 1. If F denotes the regularized function, f_0, f_1 must be values of the regularized function.
Cite this page
The FLINT team, “acb_hypgeom_2f1_continuation (acb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_2f1_continuation.html (generated 2026-10-20).
@misc{flint-doc-acb-hypgeom-acb-hypgeom-2f1-continuation,
author = {{The FLINT team}},
title = {{acb\_hypgeom\_2f1\_continuation (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_2f1_continuation.html},
note = {Generated 2026-10-20}
}