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Recent Submissions

FEKETE-SZEGO PROBLEM FOR SOME SUBCLASSES OF ¨ HOLOMORPHIC FUNCTIONS DEFINED BY THE COMBINATION OF OPOOLA AND BABALOLA DIFFERENTIAL OPERATORS
(Analele Universitatii Oradea Fasc. Matematica,, 2022) Timilehin Gideon Shaba
Inspired by the recent works of C¸ a˘glar and Orhan [5] and Kanas and Darwish [12], we obtain the coefficient estimates and Fekete-Szeg¨o inequalities for some new subclasses of holomorphic functions defined by the combination of Opoola and Babalola differential operators.
Exploring a distinct group of analytical functions linked with Bernoulli’s Lemniscate using the 𝑞-derivative
(Heliyon, 2024) Timilehin Gideon Shaba
This research presents a new group of mathematical functions connected to Bernoulli’s Lemniscate, using the 𝑞-derivative. Expanding on previous studies, the research concentrates on determining coefficient approximations, the Fekete-Szego functional, Zalcman inequality, Krushkal inequality, along with the second and third Hankel determinants for this recently established collection of functions. Additionally, the study derives the Fekete-Szego inequality for the function 𝜉 𝑓(𝜉) and obtains the inverse function 𝑓−1(𝜉) for this specific class. This research advances our understanding in this area and suggests for further exploration
Exploring a Special Class of Bi-Univalent Functions: q-Bernoulli Polynomial, q-Convolution, and q-Exponential Perspective
(symmetry, 2023) Timilehin Gideon Shaba
This 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.
Applications of Babalola q-convolution operator on subclass of analytic functions
(Journal of Inequalities and Applications, 2025) Timilehin Gideon Shaba
In this study, we present a specific type of analytic functions called Bγ (q), characterized by the Babalola q-convolution operator. We examine the characteristics of this category and set the limits for the initial four coefficients. In addition, we establish the limits for the Toeplitz determinants of second and third order for the functions within this category. Our discoveries offer fresh perspectives on the behavior of these functions and aid in comprehending their structural characteristics
Coefficients Bounds for Certain New Subclasses of Meromorphic Bi-univalent Functions Associated with Al-Oboudi Differential Operator
(Palestine Journal of Mathematics, 2021) Timilehin Gideon Shaba
In this paper, we introduce two interesting subclasses of meromorphic bi-univalent functions defined by Al-Oboudi differential operator. Estimates for the initial coefficients |c0|, |c1| and |c2| are obtained for the functions in these new subclasses.