_acb_poly_pow_acb_series, acb_poly_pow_acb_series
#include <flint/acb_poly.h>void _acb_poly_pow_acb_series(acb_ptr h, acb_srcptr f, slong flen, const acb_t g, slong len, slong prec)sourcevoid acb_poly_pow_acb_series(acb_poly_t h, const acb_poly_t f, const acb_t g, slong len, slong prec)sourceSet h to f^g = \exp(g \log f) for a constant exponent g, truncated to length len. The underscore version requires positive lengths with \mathit{flen} \le \mathit{len} and no aliasing.
Special cases: if g is an exact real integer with |g| < 2^{63}, binary exponentiation is used (followed by an inversion if g < 0); if f = a + bx^d is a binomial, the coefficients come from the binomial series (_acb_poly_binomial_pow_acb_series); if g = \pm 1/2 exactly, _acb_poly_sqrt_series or _acb_poly_rsqrt_series is used; otherwise \exp(g \log f).
The FLINT team, “_acb_poly_pow_acb_series, acb_poly_pow_acb_series (acb_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_poly/_acb_poly_pow_acb_series.html (generated 2026-10-20).
@misc{flint-doc-acb-poly-acb-poly-pow-acb-series,
author = {{The FLINT team}},
title = {{\_acb\_poly\_pow\_acb\_series, acb\_poly\_pow\_acb\_series (acb\_poly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb_poly/_acb_poly_pow_acb_series.html},
note = {Generated 2026-10-20}
}