Exploring a Special Class of Bi-Univalent Functions: q-Bernoulli Polynomial, q-Convolution, and q-Exponential Perspective

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dc.contributor.authorShaba, Timilehin Gideon
dc.contributor.authorAraci, Serkan
dc.contributor.authorAdebesin, Babatunde Olufemi
dc.contributor.authorEsi, Ayhan
dc.date.accessioned2026-06-19T06:37:40Z
dc.date.available2026-06-19T06:37:40Z
dc.date.issued2023
dc.departmentMalatya Turgut Özal Üniversitesi
dc.description.abstractThis research article introduces a novel operator termed q-convolution, strategically integrated with foundational principles of q-calculus. Leveraging this innovative operator alongside q-Bernoulli polynomials, a distinctive class of functions emerges, characterized by both analyticity and bi-univalence. The determination of initial coefficients within the Taylor-Maclaurin series for this function class is accomplished, showcasing precise bounds. Additionally, explicit computation of the second Hankel determinant is provided. These pivotal findings, accompanied by their corollaries and implications, not only enrich but also extend previously published results.
dc.identifier.doi10.3390/sym15101928
dc.identifier.issn2073-8994
dc.identifier.issue10
dc.identifier.orcid0000-0003-3137-3865
dc.identifier.scopus2-s2.0-85175426533
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym15101928
dc.identifier.urihttps://hdl.handle.net/20.500.12899/5147
dc.identifier.volume15
dc.identifier.wosWOS:001099438400001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20260612
dc.subjectQ-Bernoulli Polynomials
dc.subjectHankel Determinant
dc.subjectQ-Convolution Operator
dc.subjectFekete-Szego Problem
dc.subjectBi-Univalent Functions
dc.titleExploring a Special Class of Bi-Univalent Functions: q-Bernoulli Polynomial, q-Convolution, and q-Exponential Perspective
dc.typeArticle

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