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多双曲复数中广义正则函数的Riemann-Hilbert边值问题
引用本文:杨柳.多双曲复数中广义正则函数的Riemann-Hilbert边值问题[J].宁夏大学学报(自然科学版),2006,27(2):144-146,151.
作者姓名:杨柳
作者单位:衡阳师范学院,数学系,湖南,衡阳,421008
基金项目:衡阳师范学院校科研和教改项目
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.

关 键 词:多双曲复数  广义正则函数  Riemann-Hilbert边值问题
文章编号:0253-2328(2006)02-0144-03
收稿时间:2006-04-10
修稿时间:2006-04-10

Riemann-Hilbert Boundary Value Problem of Generalized Regular Functions in Several Hyperbolic Complex
Yang Liu.Riemann-Hilbert Boundary Value Problem of Generalized Regular Functions in Several Hyperbolic Complex[J].Journal of Ningxia University(Natural Science Edition),2006,27(2):144-146,151.
Authors:Yang Liu
Institution:Department of Mathematics, Hengyang Normal College, Hengyang 421008,China
Abstract: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.
Keywords:several hyperbolic complex  generalized regular functions  Riemann-Hilbert boundary value problem
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