Hyperbolic Integrals

Function: double gsl_sf_Shi (double x)

Function: int gsl_sf_Shi_e (double x, gsl_sf_result * result)

These routines compute the integral @math{Shi(x) = \int_0^x dt \sinh(t)/t}.

Function: double gsl_sf_Chi (double x)

Function: int gsl_sf_Chi_e (double x, gsl_sf_result * result)

These routines compute the integral @math{ Chi(x) := Re[ \gamma_E + \log(x) + \int_0^x dt (\cosh[t]-1)/t] }, where @math{\gamma_E} is the Euler constant (available as the macro M_EULER).