On the Fermi functionsI−(n+1/2)
We point out that an integral representation is possible for the Fermi functionsI−3/2,I−5/2,I−7/2,I−9/2, andI−11/2 that arise in the extended Thomas-Fermi theory of hot, non-relativistic fermion systems. These functions can thus be computed by straightforward numerical integration, thereby avoiding problems previously encountered.