Browsing by Author "Bello, R. A."

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    Hankel determinants with Fekete-Szegö parameter for a subset of Bazileviˇ c functions linked with Ma-Minda function
    (PSR Press, 2025-03-29) Lasode, A. O.; Ayinla, R. O.; Bello, R. A.; Amao, A. A.; Fatusin, L. M.; Sambo, Bitrus; Awoyale, O.
    Consider a unit disk Ω = {z : |z| < 1}. A large subset of the set of analytic-univalent functions defined in Ω is examined in this exploration. This new set contains various subsets of the Yamaguchi and starlike functions, both of which have profound properties in the well-known set of Bazileviˇ c functions. The Ma-Minda function and a few mathematical concepts, including subordination, set theory, infinite series formation and product combination of certain geometric expressions, are used in the definition of the new set. The estimates for the coefficient bounds, the Fekete-Szegö functional with real and complex parameters, and the Hankel determinants with a real parameter are some of the accomplishments. In general, when some parameters are changed within their interval of declarations, the set reduces to a number of recognized sets.
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    Initial Coefficient Bounds for Some Novel Subclasses of Analytic and Bi-univalent Functions Defined by q-Differential Operator
    (2025-05) Ayinla, R. O.; Bello, R. A.; Adeshola, A. D.; Aliu, T. O.; Hassan, M. O.
    In this study, we use the q-differential operator to establish two novel subclasses of analytic and bi-univalent functions defined in the open unit disk 𝐷= {𝑧:𝑧∈ℂ, |𝑧|<1}. Some known subclasses of analytic and bi-univalent functions, as well as their results are generalized by these novel subclasses and their results.