Pre-Schwarzian and Schwarzian derivatives of logharmonic mappings

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datacite.alternateIdentifier.citationMonatshefte Fur Mathematik, 199 (4), 754-733, 2022
datacite.alternateIdentifier.doi10.1007/s00605-021-01659-w
datacite.alternateIdentifier.issn1436-5081
datacite.creatorBravo, Victor
datacite.creatorHernández, Rodrigo
datacite.creatorPonnusamy, Saminathan
datacite.creatorVenegas, Osvaldo
datacite.date2022
datacite.rightsRegistro bibliográfico
datacite.subjectHarmonic And Logharmonic Mappings
datacite.subjectPre-schwarzian And Schwarzian Derivatives
datacite.subjectUnivalence Criterion
datacite.titlePre-Schwarzian and Schwarzian derivatives of logharmonic mappings
dc.contributor.authorVENEGAS TORRES, OSVALDO
dc.description.abstractWe introduce definitions of pre-Schwarzian and Schwarzian derivatives for logharmonic mappings, and basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. © 2022 Elsevier B.V., All rights reserved.
dc.description.ia_keywordschwarzian, derivatives, logharmonic, mappings, invariance, introduce, definitions
dc.identifier.issn0026-9255
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/4521
dc.language.isoen
dc.publisherSpringer Nature
dc.relationinstname: ANID
dc.relationreponame: Repositorio Digital RI2.0
dc.rights.driverinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.sourceMonatshefte Fur Mathematik
dc.type.driverinfo:eu-repo/semantics/article
dc.type.driverhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.type.openaireinfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication
oaire.citationEdition2022
oaire.citationEndPage754
oaire.citationIssue4
oaire.citationStartPage733
oaire.citationTitleMonatshefte Fur Mathematik
oaire.citationVolume199
oaire.fundingReferenceANID FONDECYT 1190756 (Regular)
oaire.licenseConditionCopyright © Springer-Verlag GmbH, 2022
oaire.resourceTypeArtículo
oaire.resourceType.enArticle
relation.isAuthorOfPublicationf22c7aed-a907-4211-b78a-6fef24d7e4df
relation.isAuthorOfPublication.latestForDiscoveryf22c7aed-a907-4211-b78a-6fef24d7e4df
uct.catalogadorjvu
uct.comunidadIngenieríaen_US
uct.departamentoDepartamento de Ciencias Matemáticas y Físicas
uct.facultadFacultad de Ingeniería
uct.indizacionScience Citation Index Expanded - SCIE
uct.indizacionScopus
uct.indizacionPubMed Central (PMC)
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