Jonathan Armando Briones Donoso

On skew partial derivatives and a Hermite-type interpolation problem

2022 · arXiv (Cornell University)

Let $\mathcal{R}:=\mathbb{F}[{\bf x};σ,δ]$ be a multivariate skew polynomial ring over a division ring $\mathbb{F}$. In this paper, we introduce the notion of right and left $(σ,δ)$-partial derivatives of polynomials in $\mathcal{R}$ and we prove some …