A computational approach to the D-module of meromorphic functions

F. J. Castro-Jimenez, J. M. Ucha

Let $D$ be a divisor in ${\mathbf{C}}^n$. We present methods to compare the $\mathcal{D}$-module of the meromorphic functions $\mathcal{O}[\ast D]$ to some natural approximations. We sho…