摘要
研究双解析函数在光滑敞开曲线上的Riemann边值问题 利用解析函数Riemann边值问题的标准函数和特征双解析函数的Plemelj公式 ,得到了问题 (R)一般解的表示式 ,建立了问题 (R)
In this paper,we study the Riemann boundary value problem for bianalytic function in smooth open curve. Applying the standard function of Riemann problem for analytic function and the Plemelj formula of characteristic bianalytic function, we have established an explicit representation of general solutions of the Riemann problem. We obtain also the relation between the number of linear independent solutions and the index of the Riemann probem.
出处
《怀化学院学报》
2002年第5期9-12,共4页
Journal of Huaihua University
基金
湖南省教育厅科研基金资助项目
关键词
双解析函数
边值问题
标准函数
指标
bianalytic function
boundary value problem
standard function
index MR(2000) Subject Classification:30G30,30E25