<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Inequality study is a magnificent field for investigating the geometric behaviors of analytic functions in the open unit disk calling the subordination and superordination. In this work, we aim to formulate a generalized differential-difference operator. We introduce a new class of analytic functions having the generalized operator. Some subordination results are included in the sequel.</p></abstract>

Inequality study is a magnificent field for investigating the geometric behaviors of analytic functions in the open unit disk calling the subordination and superordination. In this work, we aim to formulate a generalized differential-difference operator. We introduce a new class of analytic functions having the generalized operator. Some subordination results are included in the sequel.

Generalized Briot-Bouquet differential equation based on new differential operator with complex connections

Faculty of Mathematics & Statistics, Informetrics Research Group

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Inequality study is a magnificent field for investigating the geometric behaviors of analytic functions in the open unit disk calling the subordination and...

Generalized Briot-Bouquet differential equation based on new differential operator with complex connections

Published Online: Jul 31, 2020

Page range: 105 - 114

Received: Jul 04, 2019

Accepted: Apr 30, 2020

DOI: https://doi.org/10.2478/gm-2020-0008

Keywords
Differential operator, univalent function, analytic function, subordination, unit disk, inequality

© 2020 Rabha W. Ibrahim, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Generalized Briot-Bouquet differential equation based on new differential operator with complex connections

Published Online: Jul 31, 2020

Page range: 105 - 114

Received: Jul 04, 2019

Accepted: Apr 30, 2020

DOI: https://doi.org/10.2478/gm-2020-0008

KeywordsDifferential operator, univalent function, analytic function, subordination, unit disk, inequality

© 2020 Rabha W. Ibrahim, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Differential operator, univalent function, analytic function, subordination, unit disk, inequality