Construction of conformal,mappings of biconnected regions

The author's method for conformal mapping of simply connected circular regions of a special form is extended to biconnected regions. Examples are given to show that the solution of the problem for some common biconnected regions may be reduced to examining the corresponding simply connected regions with boundaries along straight lines and circles. The solutions given in this paper are convenient for generating numerical results.Translated from Vychislitel'naya i Prikladnaya Matematika, No. 58, pp. 71–75, 1986.