On Appell Sets and the Fueter-Sce Mapping |
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Authors: | Norman Gürlebeck |
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Institution: | (1) ústav teoretické fyziky MFF UK, V Holešovickách 2, 180 00 Praha 8 – Holešovice, Czech Republic |
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Abstract: | It is proved in Clifford algebras generated by an odd number of basis vectors e
1, ... , e
n
, 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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Keywords: | " target="_blank"> Appell sets Fueter-Sce extension monogenic polynomials formal power series |
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