acb_hypgeom_chi_asymp, acb_hypgeom_chi_2f3, acb_hypgeom_chi
Synopsis
#include <flint/acb_hypgeom.h>Sets res to the hyperbolic cosine integral \operatorname{Chi}(z), computed respectively from
\operatorname{Chi}(z) = -\frac{1}{2} \left[
e^{z} U(1,1,-z) + e^{-z} U(1,1,z) +
\log(-z) - \log(z) \right],
\operatorname{Chi}(z) = \tfrac{z^2}{4}\,
{}_2F_3(1, 1; 2, 2, \tfrac{3}{2}; \tfrac{z^2}{4})
+ \log(z) + \gamma,
or by an automatic choice.
Cite this page
The FLINT team, “acb_hypgeom_chi_asymp, acb_hypgeom_chi_2f3, acb_hypgeom_chi (acb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_chi_asymp.html (generated 2026-10-20).
@misc{flint-doc-acb-hypgeom-acb-hypgeom-chi-asymp,
author = {{The FLINT team}},
title = {{acb\_hypgeom\_chi\_asymp, acb\_hypgeom\_chi\_2f3, acb\_hypgeom\_chi (acb\_hypgeom.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_chi_asymp.html},
note = {Generated 2026-10-20}
}