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dc.contributor.authorAl-Refai, Oqlahen_US
dc.date.accessioned2021-01-27T11:32:21Z
dc.date.available2021-01-27T11:32:21Z
dc.date.issued2021
dc.identifier.citationAl-Refai, O. (2021). Sharp inequalities for univalence of meromorphic functions in the punctured unit disk. TWMS Journal of Applied and Engineering Mathematics, 11(1), 250-261.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3068
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/110-vol11-no1/681
dc.description.abstractA new class of meromorphic functions f that are univalent in the punctured unit disk U? = {z : 0 < |z| < 1} is introduced. This class is denoted by MU and consisting of functions f defined by |1 + f’(z)/f ²(z)| < 1 and zf(z) 6? 0, whenever z ? U = {z : |z| < 1}. For every n ? 2, sharp bound for the nth derivative of 1/(zf(z)) that implies univalency of f in U? is established. In particular, the best improvements for known univalence criteria are obtained. Distortion and growth estimates are investigated. Further, various sufficient coefficient conditions and a necessary coefficient condition for f to be in MU are derived and best radii of univalence are obtained for certain cases.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectUnivalent functionsen_US
dc.subjectMeromorphic functionsen_US
dc.subjectDistortion theoremen_US
dc.subjectCoefficient boundsen_US
dc.subjectArea theoremen_US
dc.titleSharp inequalities for univalence of meromorphic functions in the punctured unit disken_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume11
dc.identifier.issue1
dc.identifier.startpage250
dc.identifier.endpage261
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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