Sandwich-Type Theorems for a Family of Non-Bazilevič Functions Involving a q-Analog Integral Operator
Sarem H. Hadi, Maslina Darus, F. Ghanim, Alina Alb Lupaş
Abstract
This article presents a new q-analog integral operator, which generalizes the q-Srivastava–Attiya operator. Using this q-analog operator, we define a family of analytic non-Bazilevič functions, denoted as Tq,τ+1,uμ(ϑ,λ,M,N). Furthermore, we investigate the differential subordination properties of univalent functions using q-calculus, which includes the best dominance, best subordination, and sandwich-type properties. Our results are proven using specialized techniques in differential subordination theory.
Topics & Concepts
Subordination (linguistics)MathematicsOperator (biology)Differential operatorType (biology)Differential (mechanical device)Analytic functionPure mathematicsAlgebra over a fieldDiscrete mathematicsPhysicsEcologyRepressorBiologyChemistryBiochemistryTranscription factorPhilosophyThermodynamicsGeneLinguisticsAnalytic and geometric function theory