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Fekete-szegö problem for a generalized subclass of analytic functions

ArticleAçık Erişim

Özet

In this present work, the authors obtain Fekete-Szegö inequality for certain normalized analytic function f(z) defined on the open unit disk for which lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (or convolution) are given. As a special case of this result, Fekete-Szegö inequality for a class of functions defined through fractional derivatives are obtained.

Anahtar Kelimeler

Analytic functionCoefficient inequalityFekete-Szegö problem
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/15713Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.5666/kmj.2013.53.1.13Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorOrhan, Halit
dc.contributor.authorYagmur, Nihat
dc.contributor.authorCaglar, Murat
dc.date.accessioned2026-10-18T20:30:33.769843461Z
dc.date.available2026-10-18T20:30:33.769843461Z
dc.date.issued2013
dc.description.abstractIn this present work, the authors obtain Fekete-Szegö inequality for certain normalized analytic function f(z) defined on the open unit disk for which lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (or convolution) are given. As a special case of this result, Fekete-Szegö inequality for a class of functions defined through fractional derivatives are obtained.
dc.description.sponsorshipimprove the paper. The present investigation was supported by Ataturk University Rectorship under The Scientific and Research Project of Ataturk University, Project No: 2012/173.
dc.identifier.doi10.5666/kmj.2013.53.1.13
dc.identifier.eissn0454-8124
dc.identifier.endpage23
dc.identifier.issn1225-6951
dc.identifier.issue1
dc.identifier.scopus2-s2.0-84884164818
dc.identifier.startpage13
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/15713
dc.identifier.volume53
dc.identifier.wosWOS:000410223200002
dc.language.isoen
dc.publisherKyungmoon Publishing
dc.relation.ispartofKyungpook Mathematical Journal
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectAnalytic function
dc.subjectCoefficient inequality
dc.subjectFekete-Szegö problem
dc.titleFekete-szegö problem for a generalized subclass of analytic functions
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus2
rdl.citation.wos2
rdl.oa.statusopen
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)