Sandwich Theorems for a New Class of Complete Homogeneous Symmetric Functions by Using Cyclic Operator

Abstract

In this paper, we discuss and introduce a new study on the connection between geometric function theory, especially sandwich theorems, and Viete’s theorem in elementary algebra. We obtain some conclusions for differential subordination and superordination for a new formula of complete homogeneous symmetric functions class involving an ordered cyclic operator. In addition, certain sandwich theorems are found.

Keywords

• symmetric function
• cyclic operator
• subordination
• superordination
• sandwich theorem