Extremal Decomposition of the Complex Plane for n-Radial System of Points.

The paper is devoted to an extremal problem of geometric function theory of complex variable related with estimate of functional defined on system of mutually non-overlapping domains. An improved method is proposed for solving problems on extremal decomposition of the complex plane. The main results of the paper generalize and strengthening all known results in this problem for n-radial systems of points. In particular, the problem on extremal decomposition of the complex plane is solved for two free poles. [ABSTRACT FROM AUTHOR]