F. G. Avkhadiev, R. G. Nasibullin, I. K. Shafigullin, “Becker type univalence conditions for harmonic mappings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, Number 11,Pages <nobr>80

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Brief communications

Becker type univalence conditions for harmonic mappings

F. G. Avkhadiev, R. G. Nasibullin, I. K. Shafigullin

Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: We obtain Becker type univalence conditions for locally univalent harmonic mappings defined in one of the following domains: the unit disc, a halfplane, the exterior of the unit disc and substantiate some applications.

Keywords: harmonic mapping, Becker univalence condition, global univalence.

UDC: 517.54

Received: 08.03.2016