English

On Appell Sets and the Fueter-Sce Mapping

Complex Variables 2011-06-13 v1

Abstract

It is proved, that the recently discussed Appell polynomials in Clifford algebras are the Fueter-Sce extension of the complex monomials z^k. Furthermore, it is shown, for which complex functions the Fueter-Sce extension and the extension method using Appell polynomials coincide.

Cite

@article{arxiv.0801.0684,
  title  = {On Appell Sets and the Fueter-Sce Mapping},
  author = {Norman Gürlebeck},
  journal= {arXiv preprint arXiv:0801.0684},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T09:59:36.187Z