<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we define a new class of analytic functions with negative coefficients involving the q-differential operator. Our main purpose is to determine coefficient inequalities and distortion theorems for functions belonging to this class. Connections with previous results are pointed out.</p></abstract>

In this paper we define a new class of analytic functions with negative coefficients involving the q-differential operator. Our main purpose is to determine coefficient inequalities and distortion theorems for functions belonging to this class. Connections with previous results are pointed out.

Properties of a New Subclass of Analytic Functions With Negative Coefficients Defined by Using the Q-Derivative

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

In this paper we define a new class of analytic functions with negative coefficients involving the q-differential operator. Our main purpose is to determine...

Properties of a New Subclass of Analytic Functions With Negative Coefficients Defined by Using the Q-Derivative

Published Online: Mar 31, 2020

Page range: 303 - 308

Received: Jun 15, 2019

Accepted: Oct 15, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00028

Keywords
analytic functions, Janowski functions, negative coefficients, q-calculus, q-differential operator

© 2020 Roberta Bucur et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Properties of a New Subclass of Analytic Functions With Negative Coefficients Defined by Using the Q-Derivative

Published Online: Mar 31, 2020

Page range: 303 - 308

Received: Jun 15, 2019

Accepted: Oct 15, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00028

Keywordsanalytic functions, Janowski functions, negative coefficients, q-calculus, q-differential operator

© 2020 Roberta Bucur et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
analytic functions, Janowski functions, negative coefficients, q-calculus, q-differential operator