Journal of the
Korean Mathematical Society JKMS

The commutative products of the distributions $ x ^{r} \ln ^p |x|$ and $x^{-r-1} \ln ^q |x|$ and of ${\rm sgn} x\,x ^{r} \ln ^p |x|$ and ${\rm sgn} x\,x^{-r-1} \ln ^q |x|$ are evaluated for $r=0,\pm 1, \pm 2, \ldots $ and $p ,q= 0, 1,2,\ldots.$

Keywords: distribution, delta-function, product of distributions

MSC numbers: 46F10