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}.

Speedway