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/

Zendy Plus

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

Zendy Tools

Zendy Open

In this paper, we investigate properties of Gelfand-Tsetlin bases mainly forspherical monogenics, that is, for spinor valued or Clifford algebra valuedhomogeneous solutions of the Dirac equation in the Euclidean space. Recently ithas been observed that in dimension 3 these bases form an Appell system. Weshow that Gelfand-Tsetlin bases of spherical monogenics form completeorthogonal Appell systems in any dimension. Moreover, we study thecorresponding Taylor series expansions for monogenic functions. We obtainanalogous results for spherical harmonics as well.

Complete orthogonal Appell systems for spherical monogenics