Clifford分析中的k-超正则函数和二次k-超正则函数

K-hypermonogenic functions and quadratic k-hypermonogenic functions in Clifford analysis

研究了Clifford分析中k-超正则函数的一些性质,首次定义了二次k-超正则函数及拟二次k-超正则函数,并讨论了k-超正则函数和二次k-超正则函数之间的一些关系.

Some properties of k-hypermonogenic functions in Clifford analysis are investigated, and a kind of quadratic k-hypermonogenic functions and quasilinear quadratic k-hypermonogenic functions are defined for the first time. Moreover, the relationships of quadratic k-hypermonogenic functions and k-hypermonogenic functions are discussed.