Fueter's theorem: the saga continues

Details Fueter's theorem: the saga continues Fueter's theorem: the saga continues

2009-12-09

arxiv.org/abs/0912.1635v1

Mathematics

Complex Variables

11 pages, accepted for publication in Journal of Mathematical Analysis and Applications

Scientific paper

10.1016/j.jmaa.2009.10.006

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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