On the Non-Commutative Neutrix Convolution of $\tan^{-1}x$ and $x^{r}$
Mathematica Moravica, Tome 19 (2015) no. 1.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We define regular distributions $\tan_{+}^{-1}x$ and $\tan_{-}^{-1}x$ from the function $\tan^{-1}x$. We then evaluate some convolutions and neutrix convolutions of these distributions and the functions $x_{+}^{r}$, $x_{-}^{r}$ and $x^{r}$.
Mots-clés : Distribution, convolution, neutrix, neutrix convolution 
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Mongkolsery Lin; Brian Fisher; Somsak Orankitjaroen. On the Non-Commutative Neutrix Convolution of $\tan^{-1}x$ and $x^{r}$. Mathematica Moravica, Tome 19 (2015) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2015_19_1_a0/