<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The aim of this scientific note is first to present certain information associated with the Tremblay operator in the complex plane and then to determine several results constituted by the related operator for certain analytic functions and also to point some implications of them out.</p></abstract>

The aim of this scientific note is first to present certain information associated with the Tremblay operator in the complex plane and then to determine several results constituted by the related operator for certain analytic functions and also to point some implications of them out.

Some results concerning the Tremblay operator and some of its applications to certain analytic functions

Department of Mathematics, Faculty of Science

Acta Universitatis Sapientiae, Mathematica

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

The aim of this scientific note is first to present certain information associated with the Tremblay operator in the complex plane and then to determine...

Some results concerning the Tremblay operator and some of its applications to certain analytic functions

Published Online: Feb 27, 2020

Page range: 296 - 305

Received: Jul 07, 2019

DOI: https://doi.org/10.2478/ausm-2019-0022

Keywords
complex plane, unit open disk, normalized analytic function, fractional calculus, tremblay operator, equations and inequalities in the complex plane

© 2019 Hüseyin Irmak et al., published by Sciendo

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

Some results concerning the Tremblay operator and some of its applications to certain analytic functions

Published Online: Feb 27, 2020

Page range: 296 - 305

Received: Jul 07, 2019

DOI: https://doi.org/10.2478/ausm-2019-0022

Keywordscomplex plane, unit open disk, normalized analytic function, fractional calculus, tremblay operator, equations and inequalities in the complex plane

© 2019 Hüseyin Irmak et al., published by Sciendo

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

Keywords
complex plane, unit open disk, normalized analytic function, fractional calculus, tremblay operator, equations and inequalities in the complex plane