English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let $\mathcal{R}:=\mathbb{F}[{\bf x};\sigma,\delta]$ be a multivariate skewpolynomial ring over a division ring $\mathbb{F}$. In this paper, we introducethe notion of right and left $(\sigma,\delta)$-partial derivatives ofpolynomials in $\mathcal{R}$ and we prove some of their main properties. As anapplication of these results, we solve in $\mathcal{R}$ a Hermite-typemultivariate skew polynomial interpolation problem. The main technical toolsand results used here are of constructive type, showing methods and algorithmsto construct a polynomial in $\mathcal{R}$ which satisfies the aboveHermite-type interpolation problem and its relative Lagrange-type version.

On skew partial derivatives and a Hermite-type interpolation problem