Certain subclasses of Bazilevič functions of type α

Abstract

Certain subclasses B(α,β) and B1(α,β) of Bazilevič functions of type α are introduced. The object of the present paper is to derive a lot of interesting properties of the classes B(α,β) and B1(α,β).

Keywords

• Bazilevič function
• starlike function of order β
• convex function of order β
• subordination.