Third-Order Differential Subordination Results for Analytic Functions Associated with a Certain Differential Operator
Amal Mohammed Darweesh, Waggas Galib Atshan, Ali Hussein Battor, Alina Alb Lupaş
Abstract
In this research, we study suitable classes of admissible functions and establish the properties of third-order differential subordination by making use a certain differential operator of analytic functions in U and have the normalized Taylor–Maclaurin series of the form: f(z)=z+∑n=2∞anzn, (z∈U). Some new results on differential subordination with some corollaries are obtained. These properties and results are symmetry to the properties of the differential superordination to form the sandwich theorems.
Topics & Concepts
Subordination (linguistics)Differential (mechanical device)MathematicsDifferential operatorAnalytic functionPure mathematicsOrder (exchange)Operator (biology)Mathematical analysisPhysicsThermodynamicsFinancePhilosophyLinguisticsEconomicsRepressorGeneBiochemistryTranscription factorChemistryAnalytic and geometric function theoryHolomorphic and Operator TheoryCrystal Structures and Properties