An Application of the Briot-Bouquet Integral Operator for Differential Superordinations

Abstract

The notion of differential superordination wasintroduced as a dual concept of diffrential subordination bythe S. S. Miller and P. T. Mocanu. Using properties of theBriot-Bouquet linear operator, we obtain differentialsubordinations and superordinatios for the function convex.2000 Mathematics Subject Classification: Primary 30C80;Secondary 30C45, 30A20, 34A40

Keywords

• Convex function
• Differential subordination
• Differential superordination
• Briot-Bouquet linear operator
• Univalent