Fermi-Dirac distribution

discrete

h12fedif.gif (1571 bytes)

h12fedi2.gif (1607 bytes)h12fedi1.gif (1702 bytes)The Fermi-Dirac distribution is used in statistical mechanics.

The sum for n = 0 into the infinite is a combination of a gamma function and a Lerch transcendent: eb Γ(a+1) Φ(-eb, a+1, 1).