Titlebook: Analytic Functions; Rolf Nevanlinna,B. Eckmann,B. L. Waerden Book 19701st edition Springer-Verlag Berlin Heidelberg 1970 Analytische Funkt

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https://doi.org/10.1057/9780230583986The group of one-to-one conformai mappings of the extended plane onto itself is given analytically by the set of linear fractional transformations of the form ..

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explicit

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Conformal Mapping of Simply and Multiply Connected Regions,The group of one-to-one conformai mappings of the extended plane onto itself is given analytically by the set of linear fractional transformations of the form ..

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Functions of Bounded Type,Since the characteristic function .(.) of a function meromorphic for . increases with ., the limit. certainly exists, and there are two cases to be considered, according as .(.) = ∞ or .(.) < ∞.

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The Riemann Surface of a Univalent Function,to become acquainted with a few general properties of surfaces generated by an . single-valued meromorphic function as the image of the disk |.| < . ≦ ∞. On such simply connected surfaces the inverse function . of . is well-defined and univalent, and our problem is thus to examine analytic functions

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