Robin Pemantle and Mark C. Wilson, Combinatorics, Probability and Computing 13 (2004), 735-761.
Abstract: Let $latex F(mathbf{z})=sum_mathbf{r} a_mathbf{r}mathbf{z^r}$ be a multivariate generating function which is meromorphic in some neighborhood of the origin of $latex mathbb{C}^d$, and let $latex mathcal{V}$ be its set of singularities. Effective asymptotic expansions for the coefficients can be obtained by complex contour integration near points of $latex mathcal{V}$.
In the first article in this series, we treated the case of smooth points of $latex mathcal{V}$. In this article we deal with multiple points of $latex mathcal{V}$.