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

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dc.contributor.authorArbelaez, Hugo
dc.contributor.authorBravo, Victor
dc.contributor.authorHernandez, Rodrigo
dc.contributor.authorSierra, Willy
dc.contributor.authorVenegas, Osvaldo
dc.date2020
dc.date.accessioned2021-04-30T16:59:13Z
dc.date.available2021-04-30T16:59:13Z
dc.description.abstractThe principal goal of this paper is to extend the classical problem of finding the values of alpha is an element of C for which either (f) over cap (alpha) (z) = integral(z)(0) (f (zeta)/zeta)(alpha) d zeta or f(alpha) (z) = integral(z)(0)(f' (zeta))(alpha)d zeta 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]. (C) 2020 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
dc.identifier.citationINDAGATIONES MATHEMATICAE-NEW SERIES,Vol.31,525-535,2020
dc.identifier.doi10.1016/j.indag.2020.04.002
dc.identifier.urihttp://repositoriodigital.uct.cl/handle/10925/3749
dc.language.isoen
dc.publisherELSEVIER
dc.sourceINDAGATIONES MATHEMATICAE-NEW SERIES
dc.subject.englishUnivalent mappings
dc.subject.englishIntegral transformation
dc.subject.englishGeometric function theory
dc.titleA new approach for the univalence of certain integral of harmonic mappings
dc.typeArticle
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