研究了Clifford分析中k-超正则函数的一些性质,讨论了Clifford分析中正则函数、调和函数以及k-超正则函数之间的关系,得到了等式Q(Mkf)=Mk(Qf),P(Mkf)=Mk(Pf)成立的几个充分必要条件.
Some properties of k-hypermonogenic functions in Clifford analysis are investigated, and then the relationships of regular, harmonic and k-hypermonogenic functions are discussed, and several sufficient and necessary conditions about the equalities Q(Mkf)=Mk (Qf) and P(MJ)=Mk(Pf) are also obtained.