`_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 2026-11-02).

@misc{flint-doc-arb-hypgeom-arb-hypgeom-gamma-stirling-term-bounds,
  author       = {{The FLINT team}},
  title        = {{\_arb\_hypgeom\_gamma\_stirling\_term\_bounds (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_gamma_stirling_term_bounds.html},
  note         = {Generated 2026-11-02}
}

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