I have come across the Integral:

$$ \int\_0^{\infty}dx [x^2-ixa+c]^{n-\frac{d}{2}}e^{-bx},$$

where $n = 1,2 ; a,b,c,d \in \mathbb{R}; b,d > 0$.
This integral should contain some divergences for $d \rightarrow 4$ (for $c=0$).
I guess one must be able to write it as some combination of Gamma functions.