FLINT3.7.0-dev

_arb_gamma_upper_fmpq_step_bsplit

Synopsis#include <flint/arb_hypgeom.h>
void _arb_gamma_upper_fmpq_step_bsplit(arb_t Gz1, const fmpq_t a, const arb_t z0, const arb_t z1, const arb_t Gz0, const arb_t expmz0, const mag_t abs_tol, slong prec)source

Given Gz0 and expmz0 containing \Gamma(a, z_0) and e^{-z_0}, sets Gz1 to \Gamma(a, z_1), computed from the Taylor series at z_0 by binary splitting with an absolute truncation error at most abs_tol (included in the output). Assumes z_0, z_1 > 0. This is one step of the bit-burst algorithm.

Cite this page

The FLINT team, “_arb_gamma_upper_fmpq_step_bsplit (arb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_hypgeom/_arb_gamma_upper_fmpq_step_bsplit.html (generated 2026-10-20).