<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the present investigation, by making use of strong differential subordinations and superordinations, we introduce and study two new classes of holomorphic functions containing generalized differential operator. Also we determine important properties for functions belongs to these classes.</p></abstract>

In the present investigation, by making use of strong differential subordinations and superordinations, we introduce and study two new classes of holomorphic functions containing generalized differential operator. Also we determine important properties for functions belongs to these classes.

Two New Classes of Analytic Functions Defined by Strong Differential Subordinations and Superordinations

General Mathematics

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

In the present investigation, by making use of strong differential subordinations and superordinations, we introduce and study two new classes of holomorphic...

Two New Classes of Analytic Functions Defined by Strong Differential Subordinations and Superordinations

Published Online: Mar 20, 2020

Page range: 3 - 11

Received: Jun 04, 2019

Accepted: Dec 08, 2019

DOI: https://doi.org/10.2478/gm-2019-0010

Keywords
Holomorphic function, Convex function, Strong Differential Subordinations and Superordinations, Dominant, Subordinant, Generalized differential operator

© 2019 Abbas Kareem Wanas, published by Sciendo

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

Two New Classes of Analytic Functions Defined by Strong Differential Subordinations and Superordinations

Published Online: Mar 20, 2020

Page range: 3 - 11

Received: Jun 04, 2019

Accepted: Dec 08, 2019

DOI: https://doi.org/10.2478/gm-2019-0010

KeywordsHolomorphic function, Convex function, Strong Differential Subordinations and Superordinations, Dominant, Subordinant, Generalized differential operator

© 2019 Abbas Kareem Wanas, published by Sciendo

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

Keywords
Holomorphic function, Convex function, Strong Differential Subordinations and Superordinations, Dominant, Subordinant, Generalized differential operator