Function: int gsl_sf_expm1_e(double x, gsl_sf_result * result)
These routines compute the quantity \exp(x)-1 using an algorithm
that is accurate for small x.
Function: double gsl_sf_exprel(double x)
Function: int gsl_sf_exprel_e(double x, gsl_sf_result * result)
These routines compute the quantity (\exp(x)-1)/x using an
algorithm that is accurate for small x. For small x the
algorithm is based on the expansion (\exp(x)-1)/x = 1 + x/2 +
x^2/(2*3) + x^3/(2*3*4) + \dots.
Function: double gsl_sf_exprel_2(double x)
Function: int gsl_sf_exprel_2_e(double x, gsl_sf_result * result)
These routines compute the quantity 2(\exp(x)-1-x)/x^2 using an
algorithm that is accurate for small x. For small x the
algorithm is based on the expansion 2(\exp(x)-1-x)/x^2 =
1 + x/3 + x^2/(3*4) + x^3/(3*4*5) + \dots.
Function: double gsl_sf_exprel_n(int n, double x)
Function: int gsl_sf_exprel_n_e(int n, double x, gsl_sf_result * result)
These routines compute the N-relative exponential, which is the
n-th generalization of the functions gsl_sf_exprel and
gsl_sf_exprel2. The N-relative exponential is given by,