FLINT3.7.0-dev

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)source

Given F(z0)F(z_0) and F′(z0)F'(z_0) in f0 and f1, sets res0 and res1 to F(z1)F(z_1) and F′(z1)F'(z_1), computed by integrating the hypergeometric differential equation along the straight segment from z0z_0 to z1z_1 with Taylor series and rigorous bounds. The points should be well isolated from the singular points 0 and 1. If FF denotes the regularized function, f0,f1f_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 2026-11-02).