Transport function

In mathematics and the field of transportation theory, the transport functions J(n,x) are defined by


 * $$J(n,x) = \int_0^x t^n \frac{e^t}{(e^t - 1)^2}\,dt.$$

Note that


 * $$\frac{e^t}{(e^t - 1)^2} = \sum_{k=0}^\infty k\,e^{kt}.$$