On Appell Sets and the Fueter-Sce Mapping

Article

On Appell Sets and the Fueter-Sce Mapping

Gurlebeck N.

Adv. Appl. Clifford Algebr. 19, 51-61 (2009)

Abstract

It is proved in Clifford algebras generated by an odd number of
basis vectors e1, . . . , en, that the recently discussed Appell polynomials in
Clifford algebras are the Fueter-Sce extension of the complex monomials zk.
Furthermore, it is shown, for which complex functions the Fueter-Sce extension
and the extension method using Appell polynomials coincide.

BibTeX

@article{UTF414,
  author        = {Gurlebeck N.},
  title         = {{On Appell Sets and the Fueter-Sce Mapping}},
  journal       = {Adv. Appl. Clifford Algebr.},
  volume        = {19},
  pages         = {51-61},
  year          = {2009},
}