双解析向量函数的边值问题

Boundary Value Problem for Bianalytic Vector Functions

利用解析向量函数边值问题理论,提出了双解析向量函数的R iem ann边值问题,并研究了问题的解法和解的一般表达式及可解性条件,得到了相应的可解性定理,同样方法可解决多解析向量函数的边值问题.

In this paper , the Riemann boundary value problem for bianalytic vector functions is investigated using the theory of boundary value problem for analytic functions , we have not only found the solution method for bianalytic vector functions , but also established an explicit form of the general solution and the conditions for the solvability of the above problem. Theorem of solvability for them are also obtained. We can solve the boundary value problems for several homorphic vector function in the same way.