Exploration of New Classes of Bi-univalent Functions Defined by the Subordination Principle Using q-Gegenbauer Polynomials

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dc.contributor.authorAlsoboh, Abdullah
dc.contributor.authorAmourah, Ala
dc.contributor.authorAlatawi, Maryam Salem
dc.contributor.authorGharib, Gharib
dc.contributor.authorSakar, Fethiye
dc.date.accessioned2025-02-22T14:10:54Z
dc.date.available2025-02-22T14:10:54Z
dc.date.issued2024
dc.departmentDicle Üniversitesien_US
dc.description8th International Arab Conference on Mathematics and Computations, IACMC 2023 -- 10 May 2023 through 12 May 2023 -- Zarqa --321039en_US
dc.description.abstractIn this study, we introduce a new class of bi-univalent functions constructed using q-Gegenbauer polynomials. We analyze and characterize this newly defined class of functions, and derive estimates for the Taylor-Maclaurin coefficients |a2| and |a3|. Additionally, we investigate the formulation of functional problems specific to functions within this subclass, namely a3-σa22 (commonly known as the Fekete-Szegö problem). By systematically exploring parameter specialization, we discover a range of novel outcomes that shed light on various aspects of our main results, contributing to a broader understanding of the mathematical landscape under investigation. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.en_US
dc.identifier.doi10.1007/978-981-97-4876-1_24
dc.identifier.endpage355en_US
dc.identifier.isbn978-981974875-4
dc.identifier.issn2194-1009
dc.identifier.scopus2-s2.0-85206912586en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage343en_US
dc.identifier.urihttps://doi.org/10.1007/978-981-97-4876-1_24
dc.identifier.urihttps://hdl.handle.net/11468/29853
dc.identifier.volume466en_US
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofSpringer Proceedings in Mathematics and Statisticsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_Scopus_20250222
dc.subjectAnalytic functionsen_US
dc.subjectFekete-Szegö functionalen_US
dc.subjectq-calculusen_US
dc.subjectq-Gegenbauer polynomialsen_US
dc.subjectTaylor expansionen_US
dc.subjectThe subordination principalen_US
dc.subjectUnivalent and bi-univalent functionsen_US
dc.titleExploration of New Classes of Bi-univalent Functions Defined by the Subordination Principle Using q-Gegenbauer Polynomialsen_US
dc.typeConference Objecten_US

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