# Incomplete Fermi–Dirac integral

In mathematics, the incomplete FermiDirac integral for an index j is given by

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

This is an alternate definition of the incomplete polylogarithm.