arb_hypgeom_2f1
Synopsis
#include <flint/arb_hypgeom.h>void arb_hypgeom_2f1(arb_t res, const arb_t a, const arb_t b, const arb_t c, const arb_t z, int regularized, slong prec)sourceSets res to the Gauss hypergeometric function {}_2F_1(a,b,c,z), or \mathbf{F}(a,b,c,z) = {}_2F_1(a,b,c,z)/\Gamma(c) if the bit ACB_HYPGEOM_2F1_REGULARIZED (= 1) is set in regularized. Wrapper of acb_hypgeom_2f1; the flags of that function, which declare that a parameter difference is an exact integer, can be set in regularized too. The value is real for z < 1; on the branch cut z > 1 the result is indeterminate unless the function is a polynomial.
Cite this page
The FLINT team, “arb_hypgeom_2f1 (arb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_hypgeom/arb_hypgeom_2f1.html (generated 2026-10-20).
@misc{flint-doc-arb-hypgeom-arb-hypgeom-2f1,
author = {{The FLINT team}},
title = {{arb\_hypgeom\_2f1 (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_2f1.html},
note = {Generated 2026-10-20}
}