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Estimates on the Mapping Function and Its Derivatives in Conformal Mapping of Nearly Circular Regions

Estimates on the Mapping Function and Its Derivatives in Conformal Mapping of Nearly Circular Regions

Let C be a closed Jordan curve which contains the origin in its interior and which lies in the ring (a) * £ | w| á 1 + «where t is some positive number.Let w=f(z) map the circle \z\ <1 conformally onto the interior R of C in such a …