.GNU_ScientificLibrary.Examples.specfunc.FermiDiracIntegrals_Complete

The F_3/2(x) and F_1/2(x) functions are related to the pressure and density, respectively, of an ensemble of non-relativistic fermions and can be used to determine part of the equation of state (EoS) of, say, conduction electrons in metals and plasmas (x = mu/k*T; see, e.g., §56 of Landau & Lifshitz, Statistical Physics Part 1, 1980). A comparison of F_1/2(x) with its asymptotic forms (x<<-1 and x>>1) is also provided.