FLINT3.7.0-dev

LogIntegral, ExpIntegralE, ExpIntegralEi, SinIntegral, SinhIntegral, CosIntegral, CoshIntegral, FresnelC, FresnelS

Synopsis#include <flint/fexpr_builtin.h>
LogIntegral
ExpIntegralE
ExpIntegralEi
SinIntegral
SinhIntegral
CosIntegral
CoshIntegral
FresnelC
FresnelS

Exponential and trigonometric integrals: the logarithmic integral LogIntegral(z) (\operatorname{li}(z)), the generalised exponential integral ExpIntegralE(s, z) (E_{s}\!\left(z\right)), the exponential integral ExpIntegralEi(z) (\operatorname{Ei}(z)), the sine and cosine integrals SinIntegral(z) (\operatorname{Si}(z)), CosIntegral(z) (\operatorname{Ci}(z)), their hyperbolic counterparts SinhIntegral(z) (\operatorname{Shi}(z)), CoshIntegral(z) (\operatorname{Chi}(z)), and the Fresnel integrals FresnelC(z) (C(z)) and FresnelS(z) (S(z)).

Cite this page

The FLINT team, “LogIntegral, ExpIntegralE, ExpIntegralEi, SinIntegral, SinhIntegral, CosIntegral, CoshIntegral, FresnelC, FresnelS (fexpr_builtin.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fexpr_builtin/LogIntegral.html (generated 2026-10-20).