FLINT3.7.0-dev

HypergeometricU, HypergeometricUStar, HypergeometricUStarRemainder

Synopsis#include <flint/fexpr_builtin.h>
HypergeometricU
HypergeometricUStar
HypergeometricUStarRemainder

The confluent hypergeometric function of the second kind HypergeometricU(a, b, z) (U(a,b,z)U(a, b, z)), the scaled function HypergeometricUStar(a, b, z) (U∗(a,b,z)U^{*}(a, b, z)), equal to zaU(a,b,z)z^a U(a, b, z), and the remainder of its asymptotic series after nn terms HypergeometricUStarRemainder(n, a, b, z) (Rn ⁣(a,b,z)R_{n}\!\left(a, b, z\right)).

Cite this page

The FLINT team, “HypergeometricU, HypergeometricUStar, HypergeometricUStarRemainder (fexpr_builtin.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fexpr_builtin/HypergeometricU.html (generated 2026-11-02).