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

  • Aqeel Ketab Al-khafaji Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq
Keywords: univalent function, coefficient bounds, inclusive properties, neighborhood, radius of close –to- convexity

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.

Published
2021-07-01
How to Cite
Al-khafaji, A. K. (2021). On a Subclass of Analytic and Univalent Functions with Positive Coefficients Defined by a Differential Operator. Iraqi Journal of Science, 62(6), 2000-2008. https://doi.org/10.24996/ijs.2021.62.6.26
Section
Mathematics