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Parametric Representations of Quasiconformal Mappings

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In this article, we first give two simple examples to illustrate that two types of parametric representation of the family of Σ0 have some gaps. Then we also find that… Click to show full abstract

In this article, we first give two simple examples to illustrate that two types of parametric representation of the family of Σ0 have some gaps. Then we also find that the area derivative formula (1.6), which is used to estimate the area distortion of Σ0 , cannot be derived from [6], but that formula still holds for Σ0 through our amendatory parametric representation for the one obtained by Eremenko and Hamilton.

Keywords: parametric representations; quasiconformal mappings; representations quasiconformal

Journal Title: Acta Mathematica Scientia
Year Published: 2020

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