Contour Integration in Mathematica

I need to solve an integral similar to following for a project:

begin{equation}
F[p^2_,q^2_]equivint_0^{infty}dk, e^{-k/lambda}, frac{k}{k-b[p^2,q^2]- Iepsilon}ln(k-b[p^2,q^2])
end{equation}

Here, $lambda$ is a real number, while $b$ is a function of $p^2$ and $q^2$ which are invariant masses.

If I run it without the logarithmic function, Mathematica computes it. However, it is not giving any answer for the above integral. How do I solve it in Mathematica? Is there any other software which I can use to do solve it?