On a Subclass of Analytic and Univalent Functions with Positive Coefficients Defined by a Differential Operator

Abstract

In this paper, a differential operator is used to generate a subclass of analytic and univalent functions with positive coefficients. The studied class of the functions includes: ( ) Σ ( * +)which is defined in the open unit disk * | | + satisfying the following condition { ( ( ) ( )) ( ( ) ( )) ( ) ( ) ( ) ( ( ) ( )) } { ( ( ) ( )) ( ( ) ( )) ( ) ( ) ( ) ( ( ) ( )) } ( )This leads to the study of properties such as coefficient bounds, Hadamard product, radius of close –to- convexity, inclusive properties, and (n, τ) –neighborhoods for functions belonging to our class.