FLINT3.7.0-dev

acb_hypgeom_dilog_continuation

Synopsis#include <flint/acb_hypgeom.h>
void acb_hypgeom_dilog_continuation(acb_t res, const acb_t a, const acb_t z, slong prec)source

Sets res to \operatorname{Li}_2(z) - \operatorname{Li}_2(a) computed with the Taylor expansion at a, summed by binary splitting. Both a and z should be well isolated from 0 and 1, except that a may be exactly 0. If the segment from a to z crosses the branch cut, the result is the analytic continuation along the segment rather than the principal branch.

Cite this page

The FLINT team, “acb_hypgeom_dilog_continuation (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_continuation.html (generated 2026-10-20).