Publication:
Some properties associated to a certain class of starlike functions

dc.contributor.authorMasih, Vali Soltani
dc.contributor.authorEbadian, Ali
dc.contributor.authorYalçın, Sibel
dc.contributor.buuauthorYALÇIN TOKGÖZ, SİBEL
dc.contributor.departmentBursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.orcid0000-0002-0243-8263
dc.contributor.researcheridAAE-9745-2020
dc.contributor.researcheridABC-6175-2020
dc.date.accessioned2024-07-16T07:25:23Z
dc.date.available2024-07-16T07:25:23Z
dc.date.issued2019-12-01
dc.description.abstractLet A denote the family of analytic functions f with f(0) = f'(0) - 1 = 0, in the open unit disk Delta. We consider a classS-cs(*)(alpha) := {f is an element of A : (zf'(z)/f(z) -1) (sic) z/1+(alpha-1)z-alpha z(2) , z is an element of Delta},where 0 <= alpha <= 1/2, and (sic) is the subordination relation. The methods and techniques of geometric function theory are used to get characteristics of the functions in this class. Further, the sharp inequality for the logarithmic coefficients gamma(n) of f is an element of S-cs(*)(alpha):Sigma(infinity)(n=1) vertical bar gamma n vertical bar(2) <= 1/4(1+alpha)(2) (pi(2)/6 - 2Li(2) (-alpha)+Li-2 (alpha(2))),where Li-2 denotes the dilogarithm function are investigated.
dc.identifier.doi10.1515/ms-2017-0311
dc.identifier.eissn1337-2211
dc.identifier.endpage1340
dc.identifier.issn0139-9918
dc.identifier.issue6
dc.identifier.startpage1329
dc.identifier.urihttps://doi.org/10.1515/ms-2017-0311
dc.identifier.urihttps://www.degruyter.com/document/doi/10.1515/ms-2017-0311/htm
dc.identifier.urihttps://hdl.handle.net/11452/43281
dc.identifier.volume69
dc.indexed.wosWOS.SCI
dc.language.isoen
dc.publisherWalter
dc.relation.journalMathematica Slovaca
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectLogarithmic coefficients
dc.subjectUnivalent
dc.subjectUnivalent functions
dc.subjectSubordination
dc.subjectLogarithmic coefficients
dc.subjectStarlike functions
dc.subjectDomain bounded by cissoid of diocles
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectMathematics
dc.titleSome properties associated to a certain class of starlike functions
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublication810440e4-c926-4301-a0cc-b455e6d6e960
relation.isAuthorOfPublication.latestForDiscovery810440e4-c926-4301-a0cc-b455e6d6e960

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