I am stuck with integrating the following expression:
\begin{equation} I=\int_{a}^{\infty} x^{d-1} {\rm e}^{-(bx+c/x)}\, {\rm d}x. \end{equation}
Can it be expressed in terms of incomplete gamma function, which is defined as \begin{equation} \Gamma(d,a)=\int_{a}^{\infty} x^{d-1} {\rm e}^{-x}\, {\rm d}x. \end{equation}
Else, how do I proceed with the integration?