These routines compute the complete Fermi-Dirac integral with an integer index of j, F_j(x) = (1/\\Gamma(j+1)) \\int_0^\\infty dt (t^j /(\\exp(t-x)+1)).
err contains an estimate of the absolute error in the value y.
This function is from the GNU Scientific Library, see http://www.gnu.org/software/gsl/ for documentation.