On α-convex functions of order β

Abstract

In 1969 Mocanu [1] introduced and studied a new class of analytic functions consisting of α-convex functions. Many mathematicians have studied and shown the properties of this class. Now we will define new classes like that Mocanu class and then investigate and give some results. The class of α-convex functions of order β partially includes Mocanu's class.

Keywords

• α-convex function
• starlike function
• convex function.