Gamma, LogGamma, DigammaFunction, DigammaFunctionZero
Synopsis
#include <flint/fexpr_builtin.h>GammaLogGammaDigammaFunctionDigammaFunctionZeroThe gamma function Gamma(z) (\Gamma(z)), the log-gamma function LogGamma(z) (\log \Gamma(z)) (with the branch cut of the principal logarithm of \Gamma continued analytically from the positive real axis), the digamma function DigammaFunction(z) (\psi(z)) and its derivatives (polygamma functions) DigammaFunction(z, n) ({\psi}^{(n)}\!\left(z\right)), and the zeros of the digamma function DigammaFunctionZero(n) (x_{n}).
Guides#
- Power series and Taylor expansions (
arb_poly)
Cite this page
The FLINT team, “Gamma, LogGamma, DigammaFunction, DigammaFunctionZero (fexpr_builtin.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fexpr_builtin/Gamma.html (generated 2026-10-20).
@misc{flint-doc-fexpr-builtin-Gamma,
author = {{The FLINT team}},
title = {{Gamma, LogGamma, DigammaFunction, DigammaFunctionZero (fexpr\_builtin.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fexpr_builtin/Gamma.html},
note = {Generated 2026-10-20}
}