k-超正则函数及其相关函数的性质  

Properties of k-Hypermonogenic Functions and Their Relative Functions

作　　者：袁洪芬[1,2] 乔玉英[1] 

机构地区：[1]河北师范大学数学与信息科学学院,石家庄050016 [2]河北工程大学理学院,河北邯郸056038

出　　处：《数学物理学报（A辑）》2009年第3期716-726,共11页Acta Mathematica Scientia

基　　金：国家自然科学数学天元基金(A0324610);河北省自然科学基金(102129)资助

摘　　要：给出了k-超正则函数的开拓定理和唯一性定理,由唯一性定理证明了超正则函数列的内闭一致收敛性;由k-超正则函数的P部和Q部满足的两个微分方程,讨论了此方程与k -超正则函数及其相关函数的关系。In the first part of this paper, the authors show the extension theorem and uniqueness theorem of k-hypermonogenic functions. What is more, by the uniqueness theorem, the authors prove the inner-closed uniform convergence of sequence of hypermonogenic functions. In the second part of this paper, as P-part and Q-part of k-hypermonongenic functions satisfy two equations, the authors discuss the relationship between these two equations and k- hypermonogenic functions and their relative functions.

关 键 词：k-超正则函数 k-超调和函数 开拓定理 唯一性定理 k-超正则函数的P部和Q部 

分 类 号：O177.4[理学—数学]