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Polygonal quasiconformal maps and grunsky inequalities

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Abstract

There is a deep connection between the Grunsky coefficient inequalities for univalent functions and related extremal quasiconformal maps. In this paper, we develop the technique based on the Grunsky inequalities and apply it to solving a problem concerning polygonal quasiconformal maps.

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Authors and Affiliations

  1. Research Institute for Mathematical Sciences Department of Mathematics and Statistics, Bar-Ilan University, 52900, Ramat-Gan, Israel

    Samuel L. Krushkal

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  1. Samuel L. Krushkal
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Dedicated to Edger Reich on the occasion of his 75th Birthday.

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Krushkal, S.L. Polygonal quasiconformal maps and grunsky inequalities. J. Anal. Math. 90, 175–196 (2003). https://doi.org/10.1007/BF02786555

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  • DOI: https://doi.org/10.1007/BF02786555

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