On Some Neutrix Products of Distributions


B. Fisher, A. Takači


The neutrix product [2] of the distributions $x^{\lambda}_{+}L(x)$ and $x^{\mu}$ or $\d^{(m)}$ is analysed and explicitly calculated, where $\lambda,\mu\notin\ovwrline Z$, $m\in\N_0$ and $L$ is a slowly varying function at both zero and infinity [7].