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arXiv · 0912.1635

Fueter's theorem: the saga continues

Dixan Peña Peña·Frank Sommen
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Abstract

In this paper is extended the original theorem by Fueter-Sce (assigning an $\mathbb R_{0,m}$-valued monogenic function to a $\mathbb C$-valued holomorphic function) to the higher order case. We use this result to prove Fueter's theorem with an extra monogenic factor $P_k(x_0,\underline x)$.

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Dixan Peña Peña, Frank Sommen. 2009-12-09. Fueter's theorem: the saga continues. https://doi.org/10.1016/j.jmaa.2009.10.006

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