FLINT3.7.0-dev

_arb_hypgeom_gamma_stirling_term_bounds

Synopsis#include <flint/arb_hypgeom.h>
void _arb_hypgeom_gamma_stirling_term_bounds(slong * bound, const mag_t zinv, slong N)source

For 1 \le n < N, sets bound[n] to an exponent e such that the n-th term |B_{2n}/(2n(2n-1) z^{2n-1})| of the Stirling series is at most 2^e, given an upper bound zinv for |1/z|. Does not check for overflow or underflow of the exponents.

Cite this page

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