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arxiv: 0801.0684 · v1 · pith:7QMHHQHEnew · submitted 2008-01-04 · 🧮 math.CV

On Appell Sets and the Fueter-Sce Mapping

classification 🧮 math.CV
keywords appellextensionfueter-scecomplexpolynomialsalgebrascliffordcoincide
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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.

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