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Incomplete Fermi-Dirac integral

In mathematics, the incomplete Fermi-Dirac 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.

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