On the Fekete-Szegö inequality for analytic functions via Hohlov operator on leaf-like domains

This study examines the Fekete-Szeg inequality in relation to the classes of holomorphic functions, particularly starlike and convex functions of complex order.We obtain significant inequality for starlike, bounded turning, and close-to-convex functions by using the Hohlov operator and taking leaf-like domains into account.These findings improve our comprehension of function behavior in complex analysis and geometric function theory by extending traditional findings to broader contexts.We also give tight constraints on the coefficients and study certain examples of the Gaussian Hypergeometric function.