Transport function

{{Unreferenced|date=December 2009}}

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

:$J(n,x)\; =\; \backslash int\_0^x\; t^n\; \backslash frac\{e^t\}\{(e^t\; -\; 1)^2\}\backslash ,dt.$

Note that

:$\backslash frac\{e^t\}\{(e^t\; -\; 1)^2\}\; =\; \backslash sum\_\{k=0\}^\backslash infty\; k\backslash ,e^\{kt\}.$