多双曲复数中广义正则函数的Riemann-Hilbert边值问题  

Riemann-Hilbert Boundary Value Problem of Generalized Regular Functions in Several Hyperbolic Complex

作　　者：杨柳[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《宁夏大学学报（自然科学版）》2006年第2期144-146,151,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：衡阳师范学院启动基金资助项目(2005B36)

摘　　要：研究一类双曲复变函数的超定双曲型方程组的解(即多双曲复数的广义双曲正则函数),讨论它在一类柱形域上的Riemann-Hilbert边值问题,得到了其解的存在性和解的积分表达式.In this paper , the Riemann-Hilbert boundary value problem of generalized regular functions in several hyperbolic complex in the bicylinder is studied. The representations and solvability of the solution for this problem are obtained.

关 键 词：多双曲复数 广义正则函数 Riemann—Hilbert边值问题 

分 类 号：O175.27[理学—数学]