Abstract
In this paper, we introduce a new class of multivalent functions defined by where is a subclass of analytic and multivalent functions in the open unit disc { | | }. Moreover, we consider and prove theorems explain Some of the geometric properties for such new class was such as, coefficient estimates, growth and distortion, extreme points, radii of starlikeness, convexity and close-to-convexity as well as the convolution properties for the class
Highlights
The convolution [6] (Hadamard) product of two power series for the function given by (1) and given by
In this paper we introduces a new class
We introduce theorems with their proofs to discuss some of the geometric properties for such class
Summary
Abstract— In this paper, we introduce a new class of multivalent functions defined by where is a subclass of analytic and multivalent functions in the open unit disc { | | }. We consider and prove theorems explain Some of the geometric properties for such new class was such as, coefficient estimates, growth and distortion, extreme points, radii of starlikeness, convexity and close-to-convexity as well as the convolution properties for the class. Let be denote the class of functions of the form:. The convolution [6] (Hadamard) product of two power series for the function given by (1) and given by
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