## A new method for the effective determination of conformal maps |

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_ _ Referring _ i _ _ Proof absolutely continuous angle formed Applying the mean approximation error bnsin boundary function bounded components Conformal laps conjugate of u(Q Consider the function converge uniformly cos(u Define _ ek(l+tane estimates exterior normal follows from theorem function _ function analytic function v(Q functions defined Hence I I I Inequality integral equation integro-differential equation lema lemma lg 9 lg h lg hr lg sec mapping function mean value theorem normed conjugate numbers defined numbers satisfying period 2w periodic with period polar coordinates Prom relations _ satisfies the conditions sequences of functions simple closed curve solve stage successive approximation Theodorsen theorem 2(2c theorem 2d trigonometric polynomial vector equation 1.22 write x)dx Zcotp zero