Symmetry, cilt.17, sa.884, ss.1-22, 2025 (Scopus)
This work introduces a novel family of analytic and univalent functions formulated
through the integration of Gregory coefficients and Sakaguchi-type functions.
Employing subordination techniques, we obtain sharp bounds for the initial coefficients
in their Taylor expansions. The influence of parameter variations is examined through
comprehensive geometric visualizations, which confirm the non-emptiness of the class and
provide insights into its structural properties. Furthermore, Fekete–Szegö inequalities are
established, enriching the theory of bi-univalent functions. The combination of analytical
methods and geometric representations offers a versatile framework for future research in
geometric function theory.