On Bazilevic Functions

Abstract

Let B(ß) be the class of Bazilevic functions of type ß(ß>0). A function fεΒ(β) if it is analytic in the unit disc E and Re [Formula omitted] where g is a starlike function. We generalize the class Β(β) by taking g to be a function of radius rotation at most kπ(k≥2). Archlength, difference of coefficient, Hankel determinant and some other problems are solved for this generalized class. For k=2, we obtain some of these results for the class Β(β) of Bazilevic functions of type β. © 1989, Hindawi Publishing Corporation. All rights reserved.