Some Classes of Bazilevič-Type Close-to-Convex Functions Involving a New Derivative Operator

In the present paper, we are merging two interesting and well-known classes, namely those of Bazilevi & ccaron; and close-to-convex functions associated with a new derivative operator. We derive coefficient estimates for this broad category of analytic, univalent and bi-univalent functions and draw attention to the Fekete-Szeg & ouml; inequalities relevant to functions defined within the open unit disk. Additionally, we identify several specific special cases of our results by specializing the parameters.