  Let $f$ be a real polynomial of $x = (x_1,\dots,x_n)$ and $\varphi$ be a
locally integrable function of $x$ which satisfies a holonomic system of linear
differential equations. We study the distribution $f_+^\lambda\varphi$ with a
meromorphic parameter $\lambda$, especially its Laurent expansion and
integration, from an algorithmic viewpoint in the framework of $D$-module
theory.

Complex Variables