Abstract
In this paper, we introduce and discuss a certain subclass A(α,β) of univalent functions in the open unit disc, we obtain some properties like coefficient estimates and results of integral means by using differential subordination.
Highlights
Let be the class of functions of the form:A function in the class is said to be univalent convex function [2] of order if:, ∑ { }which are analytic and univalent in open unit disc { || }The Hadamard product or of function given by (1) and function is defined by: in the class isIn the following definition, we give the condition for the function which is defined in (4) and belongs to the classDefinition 1.1: A function is in the class if it satisfies the following condition: (
We give the condition for the function which is defined in (4) and belongs to the class
Theorem 1.2 [2] (Maximum Modulus Theorem) Suppose that a function is continuous on a boundary of
Summary
Abstract : In this paper, we introduce and discuss a certain subclass of univalent functions in the open unit disc, we obtain some properties like coefficient estimates and results of integral means by using differential subordination.
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