Some Properties of a Certain Class of Analytic Functions Defined by a Convolution Operator

In this work, we study some properties of subclass B α n+1(β) of the class of analytic functions defined by a convolution operator. In fact, this class generalizes the class of Yamaguchi functions. Thereafter, some geometric properties such as inclusion, Fekete-Szeg¨o functional and upper bounds for some Hankel determinants are presented. Indeed, results from some of our corollaries and remarks show that when some involving parameters are varied, our results reduce to some existing ones.