Complete Fermi-Dirac integral - Definition

In mathematics, the complete Fermi-Dirac integral for an index j  is given by

<math>F_j(x) = \frac{1}{\Gamma(j+1)} \int_0^\infty \frac{t^j}{\exp(t-x) + 1}\,dt.<math>

This is an alternate definition of the polylogarithm function.

Also see

• Incomplete Fermi-Dirac integral

• GNU Scientific Library - Reference Manual http://www.gnu.org/software/gsl/manual/gsl-ref.html#SEC117