双解析函数的Haseman边值问题  

HASEMAN BOUNDARY VALUE PROBLEMS FOR BIANALYTIC FUNCTIONS

作　　者：曾岳生[1] 

机构地区：[1]怀化学院数学系数学研究所,湖南怀化418008

出　　处：《系统科学与数学》2004年第3期417-423,共7页Journal of Systems Science and Mathematical Sciences

基　　金：湖南省教育厅科研基金资助项目

摘　　要：本文利用双解析函数的Cauchy型积分和带位移的奇异积分方程方法,研究并得到了双解析函数的Haseman边值问题的一般解的表示式和可解条件以及线性无关解的个数与指标之间的关系.In this paper the Haseman boundary value problems for bianalytic functions is investigated. Using the Cauchy type integral of bianalytic functions and the singular integral equation method, we have not only establishep an explicit form the general solutions of the Haseman problems for bianalytic functions, but also found the conditions for the solvability of the above problem. And a relation between the index and the number of the linear independent solutions has been obtained.

关 键 词：双解析函数 Haseman边值问题 跳跃问题 CAUCHY型积分 奇异积分方程 

分 类 号：O175[理学—数学]