Incomplete Fermi–Dirac integral

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

F j ( x , b ) = 1 Γ ( j + 1 ) ∫ b ∞ t j exp ⁡ ( t − x ) + 1 d t . {\displaystyle 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.

## See also[edit]

* Complete Fermi–Dirac integral

## External links[edit]

* GNU Scientific Library - Reference Manual

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