Coefficient estimation utilizing the faber polynomial for a subfamily of bi-univalent functions

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dc.authorid0000-0002-5183-2654en_US
dc.authorid0000-0001-9287-7704en_US
dc.authorid0000-0002-3884-3957en_US
dc.authorid0000-0003-2370-6332en_US
dc.authorid0000-0001-8645-1029en_US
dc.contributor.authorAlsoboh, Abdullah
dc.contributor.authorAmourah, Ala
dc.contributor.authorSakar, Fethiye Müge
dc.contributor.authorOgilat, Osama
dc.contributor.authorGharib, Gharib Mousa
dc.contributor.authorZomot, Nasser
dc.date.accessioned2023-08-15T08:43:11Z
dc.date.available2023-08-15T08:43:11Z
dc.date.issued2023en_US
dc.departmentDicle Üniversitesi, İktisadi ve İdari Bilimler Fakültesi, İşletme Bölümüen_US
dc.description.abstractThe paper introduces a new family of analytic bi-univalent functions that are injective and possess analytic inverses, by employing a q-analogue of the derivative operator. Moreover, the article establishes the upper bounds of the Taylor–Maclaurin coefficients of these functions, which can aid in approximating the accuracy of approximations using a finite number of terms. The upper bounds are obtained by approximating analytic functions using Faber polynomial expansions. These bounds apply to both the initial few coefficients and all coefficients in the series, making them general and early, respectively.en_US
dc.identifier.citationAlsoboh, A., Amourah, A., Sakar, F. M., Ogilat, O., Gharib, G. M. ve Zomot, N. (2023). Coefficient estimation utilizing the faber polynomial for a subfamily of bi-univalent functions. Axioms, 12(6), 1-12.en_US
dc.identifier.doi10.3390/axioms12060512
dc.identifier.endpage12en_US
dc.identifier.issn2075-1680
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85163592821
dc.identifier.scopusqualityQ3
dc.identifier.startpage1en_US
dc.identifier.urihttps://www.mdpi.com/2075-1680/12/6/512
dc.identifier.urihttps://hdl.handle.net/11468/12478
dc.identifier.volume12en_US
dc.identifier.wosWOS:001013931600001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorSakar, Fethiye Müge
dc.language.isoenen_US
dc.publisherMDPIen_US
dc.relation.ispartofAxioms
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAnalytic functionen_US
dc.subjectUnivalent functionsen_US
dc.subjectBi-univalent functionsen_US
dc.subjectFaber polynomialen_US
dc.subjectq-derivative operatoren_US
dc.subjectquantum calculusen_US
dc.titleCoefficient estimation utilizing the faber polynomial for a subfamily of bi-univalent functionsen_US
dc.titleCoefficient estimation utilizing the faber polynomial for a subfamily of bi-univalent functions
dc.typeArticleen_US

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