Unified Approach of the Logarithmic Coefficient Bounds for the Class of Bazilevic˘ Functions

The investigation of logarithmic coefficients in the theory of univalent functions began with Milin, who demonstrated their importance for understanding geometric features of these mappings through their connection with the Taylor coefficients h m . If denotes the family of univalent functions on the unit disk with the expansion the logarithmic coefficients γ m ( h ) are given by Bazilevi (1965) later underlined the role of these coefficients in several coefficient‐related problems for univalent functions. In the present paper, we introduce a novel technique for obtaining bounds on | γ m ( h )| when h belongs to the Bazilevi class of type ( α , β ) and order γ . The proposed approach refines earlier estimates and extends known results in this area.