In mathematics and statistical physics, the transport integrals (sometimes transport functions) are a family of special functions arising in the theory of transport phenomena of solids.
Definition
The transport integrals are defined by the integral representation
:<math>J_n(x) = \int_0^x t^n \frac{e^t}{(e^t - 1)^2}\,dt.</math>
Note that
:<math>\frac{e^t}{(e^t - 1)^2} = \sum_{k=0}^\infty k\,e^{kt}.</math>
See also
- Incomplete gamma function