The Fifth Coefficient of Bazilevič Functions

Abstract

Let f∈A, the class of normalized analytic functions defined in the unit disk D, and be given by f(z)=z+∑n=2∞anzn for z∈D. This paper presents a new approach to finding bounds for |an|. As an application, we find the sharp bound for |a5| for the class B1(α) of Bazilevič functions when α≥1.

Keywords

• univalent functions
• Bazilevič functions
• coefficient problems