Quasi-subordination for a subclass of non-Bazilevic functions connected with a q-derivative operator

Abstract

This study examines a broad subclass of non-Bazileviˇc functions that includes several subclasses of q-bounded turning functions and q-Sakaguchi functions. We link the definition of the class with a modified Opoola q-derivative operator, quasi-subordination, and a few number of mathematical concepts such as q-calculus and infinite series formations. Among the achievements in this work are the estimates for the early upper coefficient bounds and the Fekete-Szego inequalities having complex parameters. In general, this unique class reduces to various recognized classes of non-Bazilevic functions when some of the parameters take values within their interval of definition.