<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this scientific note, an operator, which is the well-known Tremblay operator in the literature, is first introduced and some of its applications to certain analytic complex functions, which are normalized and analytic in the open unit disk, are then determined. In addition, certain special results of the related applications are also emphasized.</p></abstract>

In this scientific note, an operator, which is the well-known Tremblay operator in the literature, is first introduced and some of its applications to certain analytic complex functions, which are normalized and analytic in the open unit disk, are then determined. In addition, certain special results of the related applications are also emphasized.

Certain basic information related to the Tremblay operator and some applications in connection therewith

Faculty of Science, Department of Mathematics

General Mathematics

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

In this scientific note, an operator, which is the well-known Tremblay operator in the literature, is first introduced and some of its applications to certain...

Certain basic information related to the Tremblay operator and some applications in connection therewith

Published Online: Mar 20, 2020

Page range: 13 - 21

Received: May 18, 2019

Accepted: Dec 16, 2019

DOI: https://doi.org/10.2478/gm-2019-0011

Keywords
Complex plane, Domain in the complex plane, Normalized analytic function, Fractional calculus, the Tremblay operator, Equations and inequalities in the complex plane

© 2019 Hüseyin Irmak, published by Sciendo

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

Certain basic information related to the Tremblay operator and some applications in connection therewith

Published Online: Mar 20, 2020

Page range: 13 - 21

Received: May 18, 2019

Accepted: Dec 16, 2019

DOI: https://doi.org/10.2478/gm-2019-0011

KeywordsComplex plane, Domain in the complex plane, Normalized analytic function, Fractional calculus, the Tremblay operator, Equations and inequalities in the complex plane

© 2019 Hüseyin Irmak, published by Sciendo

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

Keywords
Complex plane, Domain in the complex plane, Normalized analytic function, Fractional calculus, the Tremblay operator, Equations and inequalities in the complex plane