多连通区域上一类带开方的Riemann边值问题

On Solution of a Kind of Riemann Boundary Value Problem With Squal Roots Under Jumping Curve

在由L分割的复平面是L围成的区域S+和由l+1个连通分支Si-(i=0,1,2,…,l)组成的开集S-情形下,求出边值问题ψ+(t)=G(t)ψ-(t)+g(t)的一般解为ψ(z)=∏(z)X(z)2(2 1π∫iLg(t)dtX+(t)∏(t)(t-z)+Pλ(z))2.

In this paper,The general solution of analytic functions boundary value problem √φ^＋（t）=G（t）√φ^-（t）＋g（t） is discussed when the complex plane is divided into a region S^＋ and an open set S^- by many smooth closed contours and φ^- （z） has a finite order a z = ∞ ,the general solution.. φ（z）=∏（z）X（z）^2（1/2πi∫L g（t）dt/X^＋（t）√∏（t）（t-z）＋Pλ（z））^2 of analytic functions boundaryvalue problem√φ^＋（t）=G（t）√φ^-（t）＋ g（t） is given.