Transport function

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

[math]\displaystyle{ J(n,x) = \int_0^x t^n \frac{e^t}{(e^t - 1)^2}\,dt. }[/math]

Note that

[math]\displaystyle{ \frac{e^t}{(e^t - 1)^2} = \sum_{k=0}^\infty k\,e^{kt}. }[/math]


See also