Ayotunde Olajide Lasode and Rasheed Olawale Ayinla, On a linear combination of q-starlike and q-convex

This investigation is about a set of analytic-univalent function-kindanalytically defined in the two novel sets: q, (s, t; ) and q, (s, t; ).The definition of functions f in set q, (s, t; ) involves the generalizations of the sets of q-convex and q-starlike functions; while f in set q, (s, t; ) involves the generalizations of the sets of strongly-q-convex and strongly-q-starlike funtions.In addition to these, the two sets have association with the Carathodory functions and some real parameters.It is well-known that the subsets: q-convex, q-starlike, strongly-q-convex, and strongly-q-starlike have significant, empirical and classical features in the well-known set of analytic-univalent functions.Some mathematical principles employed in the methodology are the concepts of q-calculus, infinite series generation, and the linear combination of some geometric expressions.Thus, the reported results for the two novel sets span through some estimates for the Fekete-Szeg coefficient functionals (with real and complex parameters) and some initial coefficient bounds.Generally speaking, the two novel sets (and their results) reduce to a number of recognized sets (and their results) when values for certain parameters are altered within their declaration interval.