Certain Sharp Coefficient Results on a Subclass of Starlike Functions Defined by the Quotient of Analytic Functions

Abstract

In the present paper, we consider a subclass of starlike functions G3/2 defined by the ratio of analytic representations of convex and starlike functions. The main aim is to determine the bounds of Fekete–Szegö-type inequalities and Hankel determinants for functions in this class. It is proved that maxH3,1(f):f∈G3/2 is equal to 181. The bounds for f∈G3/2 are sharp.