A Generalization of Fueter's Theorem in Dunkl-Clifford Analysis

Details A Generalization of Fueter's Theorem in Dunkl-Clifford Analysis A Generalization of Fueter's Theorem in Dunkl-Clifford Analysis

2011-02-10

arxiv.org/abs/1102.2038v1

Mathematics

Complex Variables

14 pages

Scientific paper

In this paper we first offer an alternative approach to extend the original Fueter's Theorem in Dunkl-Clifford analysis to a version of the higher order case. Then this result is used to prove a generlized version of Fueter's Theorem with an extra homogeneous Dunkl-monogenic polynomial $P_n(x_0,\underline{x})$ in $\R_1^d$ instead of the classical factor $P_n(\underline{x})$ in $\R^d$.

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