VENEGAS TORRES, OSVALDO

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A new approach for the univalence of certain integral of harmonic mappings

, VENEGAS TORRES, OSVALDO, Arbeláez, Hugo, Bravo, Victor, Hernández, Rodrigo, Sierra, Willy W., Venegas, Osvaldo

The principal goal of this paper is to extend the classical problem of finding the values of ??? for which either f ?(z)=?0z(f(?)??)?d? or f?(z)=?0z(f?(?))?d? are univalent, whenever f belongs to some subclasses of univalent mappings in D, to the case of harmonic mappings, by considering the shear construction introduced by Clunie and Sheil-Small in [4]. © 2020 Elsevier B.V., All rights reserved.