An upper bound for third Hankel determinant of starlike functions connected with k-Fibonacci numbers

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dc.contributor.authorGuney, H. Ozlem
dc.contributor.authorIlhan, Sedat
dc.contributor.authorSokol, Janusz
dc.date.accessioned2024-04-24T16:10:39Z
dc.date.available2024-04-24T16:10:39Z
dc.date.issued2019
dc.departmentDicle Üniversitesien_US
dc.description.abstractIn this paper, we investigate the third Hankel determinant problem in some classes of analytic functions in the open unit disc connected with k-Fibonacci numbers Fk,n(k>0). For this, first, we prove a conjecture, posed in Guney et al. (2017), for sharp upper bound of the second Hankel determinant. In the sequel, we obtain another sharp coefficient bound which we apply in solving the problem of the third Hankel determinant for these functions. Finally, we give an upper bound for the third Hankel determinant in this class. The results presented in the present paper have been shown to generalize and improve some recent work of Soko et al. (2017).en_US
dc.identifier.doi10.1007/s40590-017-0190-6
dc.identifier.endpage129en_US
dc.identifier.issn1405-213X
dc.identifier.issn2296-4495
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85059847763
dc.identifier.scopusqualityQ2
dc.identifier.startpage117en_US
dc.identifier.urihttps://doi.org/10.1007/s40590-017-0190-6
dc.identifier.urihttps://hdl.handle.net/11468/15000
dc.identifier.volume25en_US
dc.identifier.wosWOS:000465216500008
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherSpringer International Publishing Agen_US
dc.relation.ispartofBoletin De La Sociedad Matematica Mexicana
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectUnivalent Functionsen_US
dc.subjectConvex Functionsen_US
dc.subjectStarlike Functionsen_US
dc.subjectSubordinationen_US
dc.subjectK-Fibonacci Numbersen_US
dc.titleAn upper bound for third Hankel determinant of starlike functions connected with k-Fibonacci numbersen_US
dc.titleAn upper bound for third Hankel determinant of starlike functions connected with k-Fibonacci numbers
dc.typeArticleen_US

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