Transport function

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

$J(n,x)=\underset{0}{\overset{x}{\int }}{t}^n\frac{e^t}{(e^t-1{)}^2}dt.$

Note that

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

See also

• Incomplete gamma function