On Some Interesting Classes of Analytic Functions Related to Univalent Functions

Abstract

Let A¯ be the new general class of functions f(z) of the form f(z)=z+∑k=1∞a1+k2z1+k2 that are analytic in the open unit disc U. In the present paper, for f(z)∈A¯, we consider classes S∗¯(α), C¯(α) and R¯(α) and obtain some interesting properties of f(z)∈A¯ concerning S∗¯(α), C¯(α) and R¯(α), applying subordinations of f(z).

Keywords

• analytic function
• starlike of order α
• convex of order α
• univalent
• subordination