Some Applications of Differential Subordinations and Superordinations and Sandwich Theoresm

Abstract

The notions of differential subordinations and superdinations werw introduces by S.S. Miller and P.T. Mocanu. In this paper we present some applications of differential subordination and superdination using function (f(z)zk)α. A sandwich theorem type results is also given.

Keywords

• Differential Subordination
• Differential Superordination
• Subdominant
• Dominant
• 2000 Mathematics Subject Classification 30C80
• 2000 Mathematics Subject Classification 30C45