A generalization of Fueter's theorem in Dunkl-Clifford analysis

摘要

In this article, we first suggest an alternative approach to extend the original Fueter's theorem in Dunkl-Clifford analysis to a version of the higher order case. We then use this result to prove a generalized version of Fueter's theorem with an extra homogeneous Dunkl-monogenic polynomial P _n(x _0, x) in instead of the classical factor P _n(x) in ?~d.