摘要
本文首先给出了超空间上高阶Cauchy-Pompeiu公式,然后由超空间上微分算子之间的缠绕关系,分别讨论了正则函数和k-正则函数及调和函数和k-调和函数之间的关系.最后,得到超空间上Cauchy-Riemann型方程.
In the paper, first we show the higher order Cauchy-Pompeiu formula in superspace. Second we discuss the relationship between monogenic functions and k-monogenic functions by the relation among differential operators. Similarly, the relationship between harmonic functions and k-harmonic functions is obtained. Finally we get the Cauchy-Riemann type equations in superspace.
出处
《数学进展》
CSCD
北大核心
2013年第2期233-242,共10页
Advances in Mathematics（China）
基金
国家自然科学基金资助项目(No.10771049)
