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A METHOD OF APPROXIMATE CONFORMAL MAPPING OF POLYGONAL REGIONS ONTO A UNIT CIRCLE,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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The paper proposes a general method for approximate conformal mapping of polygonal regions onto the unit circle with the aid of rational functions constructed by use of the classical Christoffel-Schwartz integral. The basis of the proposed method is a new general method for determining approximate values of the constants in the Christoffel-Schwartz integral on the basis of the continual correspondence principle which has been given the name method of generalized proportional division. In determining approximate values of the constants by the generalized proportional division method, it is no longer necessary to write any equations and, consequently, all of the fundamental difficulties associated with solution of the equations are also eliminated.
APPROVED FOR PUBLIC RELEASE