acb_hypgeom_dilog_transform
#include <flint/acb_hypgeom.h>Sets res to \operatorname{Li}_2(z) computed by one of the transformations 1/z, 1-z, z/(z-1), 1/(1-z), selected by algorithm from 1 to 4, followed by acb_hypgeom_dilog_zero at the transformed argument. For algorithm between 5 and 7, it instead starts from the respective point \pm i, (1\pm i)/2 or 1 \pm i (with the sign of the imaginary part of z), where \operatorname{Li}_2 has a closed form in terms of \pi, \log 2 and Catalan's constant, and continues to z with the bit-burst method; these require that the imaginary part of z does not contain 0. The result is indeterminate if the transformation is not valid on the whole input ball.
The FLINT team, “acb_hypgeom_dilog_transform (acb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_dilog_transform.html (generated 2026-10-20).
@misc{flint-doc-acb-hypgeom-acb-hypgeom-dilog-transform,
author = {{The FLINT team}},
title = {{acb\_hypgeom\_dilog\_transform (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_dilog_transform.html},
note = {Generated 2026-10-20}
}