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Complete Fermi-Dirac integral

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

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

This is an alternate definition of the polylogarithm function.

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