Browsing by Author "Rasheed Olawale Ayinla"

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    ON A CERTAIN CLASS OF BI-UNIVALENT FUNCTIONS IN CONNECTION WITH GEGENBAUER POLYNOMIALS
    (2024) Rasheed Olawale Ayinla; Ayotunde Olajide Lasode
    Recent direction of studies shows that there is a kin connection between regular functions and orthogonal polynomials. In this paper, we study a new class of regular and bi-univalent functions that involve the familiar Gegenbauer polynomials. Some achieved results include some early coefficient bounds and the upper estimates for the Fekete-Szegö inequalities with real and complex parameters
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    Some coefficient properties of a certain family of regular functions associated with lemniscate of Bernoulli and Opoola differential operator
    (2024) Rasheed Olawale Ayinla; Ayotunde Olajide Lasode
    In this exploration, we introduce a certain family of regular (or analytic) functions in association with the right half of the Lemniscate of Bernoulli and the well-known Opoola differential operator. For the regular function f studied in this work, some estimates for the early coefficients, Fekete-Szego functionals and second and third Hankel determinants are established. Another established result is the sharp upper estimate of the third Hankel determinant for the inverse function f^(−1) of f .