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: 
 
 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.

Coefficients Estimates of New Subclasses for Univalent Functions Related to Complex Order

“…studied by Goel and Mehrok in [4]. We refer the interested readers to [5,9,11] concerning study of certain subclasses of analytic functions.…”