k-正则函数的某些性质及其共轭k-正则函数的Riemann边值问题  

On some properties of k-Regular functions and Riemann boundary value problems with conjugate for k-Regular function

作　　者：曾伟[1] 

机构地区：[1]西南民族大学预科教育学院,四川成都610041

出　　处：《西南民族大学学报（自然科学版）》2009年第2期210-217,共8页Journal of Southwest Minzu University(Natural Science Edition)

摘　　要：研究k-正则函数u(z)(即ku=的解).讨论了其平均值定理,无穷可微性,Cauchy不等式,Liouville定理等性质.同时,还研究了共轭k-正则函数的Riemann边值问题,得出了其的具体解和可解性定理.In this paper, we study some properties of k-Regular function, for example, average theorem, inequality of cauchy, infinite differentiability and theorem of liouville.We discuss Riemann boundary value problem with conjugate for k-Regular function.

关 键 词：K-正则函数 共轭k-正则函数 可解性 RIEMANN边值问题 

分 类 号：O175[理学—数学]