`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 2026-11-02).

@misc{flint-doc-acb-hypgeom-acb-hypgeom-dilog-continuation,
  author       = {{The FLINT team}},
  title        = {{acb\_hypgeom\_dilog\_continuation (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_continuation.html},
  note         = {Generated 2026-11-02}
}

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