Transport function

In mathematics and the field of transportation theory, the transport functions<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> J(n,x) are defined by

<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