Grundlehren Der Mathematischen Wissenschaften Ser.: Boundary Behaviour of Conformal Maps by Christian Pommerenke (2010, Trade Paperback)
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ISBN-13: 9783642081293, 978-3642081293. We study the boundary behaviour of a conformal map of the unit disk onto an arbitrary simply connected plane domain. In the classical applications of conformal mapping, the domain is bounded by a piecewise smooth curve.