arb_hypgeom_beta_lower
Synopsis
#include <flint/arb_hypgeom.h>void arb_hypgeom_beta_lower(arb_t res, const arb_t a, const arb_t b, const arb_t z, int regularized, slong prec)sourceSets res to the incomplete beta function B(a,b;z) = \int_0^z t^{a-1} (1-t)^{b-1} dt, or the regularized function I(a,b;z) = B(a,b;z)/B(a,b;1) if regularized is nonzero. The precise definition by analytic continuation is given for acb_hypgeom_beta_lower, of which this is a wrapper.
Cite this page
The FLINT team, “arb_hypgeom_beta_lower (arb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_hypgeom/arb_hypgeom_beta_lower.html (generated 2026-10-20).
@misc{flint-doc-arb-hypgeom-arb-hypgeom-beta-lower,
author = {{The FLINT team}},
title = {{arb\_hypgeom\_beta\_lower (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_beta_lower.html},
note = {Generated 2026-10-20}
}