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Loewner chain and quasiconformal extension of some classes of univalent functions

2018/09/19 by Bhowmik, Bappaditya, Satpati, Goutam
#30C55 #30C62 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1809.07135

Abstract

In this article, we obtain quasiconformal extensions of some classes of conformal maps defined either on the unit disc or on the exterior of it onto the extended complex plane. Some of these extensions have been obtained by constructing suitable Loewner chains and others have been obtained by applying a well-known result.

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