Legendre form

In mathematics, the incomplete Fermi–Dirac integral for an index j is given by

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

This is an alternate definition of the incomplete polylogarithm.

See also

• Complete Fermi–Dirac integral

External links

• GNU Scientific Library - Reference Manual

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