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Geometric behavior of a class of algebraic differential equations in a complex domain using a majorization concept

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dc.contributor.author Ibrahim, Rabha W.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-05-13T11:48:37Z
dc.date.available 2022-05-13T11:48:37Z
dc.date.issued 2020
dc.identifier.citation Ibrahim, Rabha W.; Baleanu, Dumitru (2020). "Geometric behavior of a class of algebraic differential equations in a complex domain using a majorization concept", AIMS Mathematics, Vol. 6, No. 1, pp. 806-820. tr_TR
dc.identifier.issn 2473-6988
dc.identifier.uri http://hdl.handle.net/20.500.12416/5503
dc.description.abstract In this paper, a type of complex algebraic differential equations (CADEs) is considered formulating by α[ϕ(z)ϕ′′(z) + (ϕ′(z))2] + amϕm(z) + am−1ϕm−1(z) + … + a1ϕ(z) + a0 = 0. The conformal analysis (angle-preserving) of the CADEs is investigated. We present sufficient conditions to obtain analytic solutions of the CADEs. We show that these solutions are subordinated to analytic convex functions in terms of ez. Moreover, we investigate the connection estimates (coefficient bounds) of CADEs by employing the majorization method. We achieve that the coefficients bound are optimized by Bernoulli numbers. © 2021 the Author(s), licensee AIMS Press. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2021049 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Algebraic Differential Equations tr_TR
dc.subject Analytic Function tr_TR
dc.subject Majorization Method tr_TR
dc.subject Open Unit Disk tr_TR
dc.subject Subordination and Superordination tr_TR
dc.subject Univalent Function tr_TR
dc.title Geometric behavior of a class of algebraic differential equations in a complex domain using a majorization concept tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 6 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 806 tr_TR
dc.identifier.endpage 820 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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