Ayotunde Olajide Lasode and Rasheed Olawale Ayinla, On a linear combination of q-starlike and q-convex
Year: 2025
Type: article
Abstract: This investigation is about a set of analytic-univalent function-kind f(z) = z + j 2 a j z j , |z| < 1 analytically defined in the two novel sets: Ω q,δ (s, t; η) and q,δ (s, t; γ).The definition of functions f in set Ω q,δ (s, t; η) involves the generalizations of the sets of q-convex and q-starlike functions; while f in set q,δ (s, t; γ) 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 Carathéodory 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-Szegö 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.
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413035354