FLINT3.7.0-dev
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acb_pow, acb_pow_arb, acb_pow_analytic

Synopsis#include <flint/acb.h>
void acb_pow(acb_t r, const acb_t x, const acb_t y, slong prec)source
void acb_pow_arb(acb_t z, const acb_t x, const arb_t y, slong prec)source
void acb_pow_analytic(acb_t res, const acb_t z, const acb_t w, int analytic, slong prec)source

Set the output to the principal power x^y: by binary exponentiation if y is a small exact integer, as (x^{1/2})^{2y} if y is a small exact half-integer, and as \exp(y \log x) otherwise. With analytic set, the result is indeterminate if x touches the branch cut of the logarithm, unless y is an integer.

Guides#

Cite this page

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