Estimates for Coefficients of Bi-Univalent Functions Associated with a Fractional q-Difference Operator
Ebrahim Amini, Shrideh Al‐Omari, Kamsing Nonlaopon, Dumitru Bǎleanu
Abstract
In the present paper, we discuss a class of bi-univalent analytic functions by applying a principle of differential subordinations and convolutions. We also formulate a class of bi-univalent functions influenced by a definition of a fractional q-derivative operator in an open symmetric unit disc. Further, we provide an estimate for the function coefficients |a2| and |a3| of the new classes. Over and above, we study an interesting Fekete–Szego inequality for each function in the newly defined classes.
Topics & Concepts
Univalent functionMathematicsOperator (biology)Class (philosophy)Fractional calculusFunction (biology)Pure mathematicsDifferential operatorDifferential (mechanical device)Analytic functionMathematical analysisApplied mathematicsComputer sciencePhysicsBiologyChemistryGeneTranscription factorThermodynamicsArtificial intelligenceBiochemistryRepressorEvolutionary biologyAnalytic and geometric function theoryCrystal Structures and Properties