Arcadii Z. Grinshpan, Edward B. Saff
Abstract
Let fbe analytic in the unit disk E f(0)=0f(z) ≢ 0 otherwise. We consider the problem of estimating the argument for given bounds for . Such problems arise in measuring the accuracy of approximate conformal mappings of simply connected domains onto the unit disk.
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Let fbe analytic in the unit disk E f(0)=0f(z) ≢ 0 otherwise. We consider the problem of estimating the argument for given bounds for . Such problems arise in measuring the accuracy of approximate conformal mappings of simply connected domains onto the unit disk.
Key concepts: Unit disk, Conformal map, Argument (complex analysis), Mathematics, Unit (ring theory), Extremal length, Pure mathematics, Mathematical analysis