Fermi-Dirac integral of half order
I am trying to implement a 1D model for semiconductor pn-junctions. This involves evaluating the Fermi-Dirac integral of half order, which can only be done numerically. I saw that the GSL library has an algorithm to perform this integration, but I can't figure out how to call it in Sage, is this possible? If not, what are some alternatives to evaluate this integral? Thanks in advance.