Determination of Some Properties of Starlike and Close-to-Convex Functions According to Subordinate Conditions with Convexity of a Certain Analytic Function

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dc.authorscopusid58104858600en_US
dc.authorscopusid23098888300en_US
dc.contributor.authorSahin, Hasan
dc.contributor.authorYildiz, Ismet
dc.date.accessioned2024-08-23T16:07:05Z
dc.date.available2024-08-23T16:07:05Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractInvestigation of the theory of complex functions is one of the most fascinating aspects of the theory of complex analytic functions of one variable. It has a huge impact on all areas of mathematics. Numerous mathematical concepts are explained when viewed through the theory of complex functions. Let f(z) is an element of A, f(z) = z + Sigma(infinity)(n >= 2) a(n)z(n), be an analytic function in an open unit disc U = {z : vertical bar z vertical bar < 1, z is an element of C} normalized by f(0) = 0 and f'(0) = 1. For close-to-convex and starlike functions, new and different conditions are obtained by using subordination properties, where r is a positive integer of order 2(-r) (0 < 2(-r) <= 1/2). By using subordination, we propose a criterion for f(z) is an element of S*[a(r), b(r)]. The relations for starlike and close-to-convex functions are investigated under certain conditions according to their subordination properties. At the same time, we analyze the convexity of some analytic functions and study their regional transformations. In addition, the properties of convexity are examined for f(z) is an element of A.en_US
dc.identifier.doi10.1007/s11253-023-02251-1
dc.identifier.issn0041-5995
dc.identifier.issn1573-9376
dc.identifier.scopus2-s2.0-85177794767en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1007/s11253-023-02251-1
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14489
dc.identifier.wosWOS:001114761600002en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofUkrainian Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.titleDetermination of Some Properties of Starlike and Close-to-Convex Functions According to Subordinate Conditions with Convexity of a Certain Analytic Functionen_US
dc.typeArticleen_US

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