ABSTRACT

Before setting up a boundary-value problem we shall discuss the method of describing the boundary of a multiply-connected polygon.

Suppose a finite sequence of points Pl9 P2, ... , Px , x > 2, is given in the complex plane z, 2 = x + iy . We set P0 = Px , Px+1 = Pi, i.e., understand P0 to be the same point as Px , and Px to be Px+i. Figure 1 shows a sequence of points corresponding to x = 5. In what follows we shall not mark the points P0 and Px+i in the figures.