acb_hypgeom_u_1f1_series
Synopsis
#include <flint/acb_hypgeom.h>void acb_hypgeom_u_1f1_series(acb_poly_t res, const acb_poly_t a, const acb_poly_t b, const acb_poly_t z, slong len, slong prec)sourceSets res to U(a,b,z) as a power series truncated to length len, for power series a, b, z \in \mathbb{C}[[x]], using the connection formula with two {}_1F_1 series. If the constant term of b is an integer, one extra derivative is computed and the removable singularity is divided out; it is then assumed that the coefficient of x in b is nonzero. The output is indeterminate if the constant term of b is inexact and contains an integer.
Cite this page
The FLINT team, “acb_hypgeom_u_1f1_series (acb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_hypgeom/acb_hypgeom_u_1f1_series.html (generated 2026-10-20).
@misc{flint-doc-acb-hypgeom-acb-hypgeom-u-1f1-series,
author = {{The FLINT team}},
title = {{acb\_hypgeom\_u\_1f1\_series (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_u_1f1_series.html},
note = {Generated 2026-10-20}
}