<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This scientific note relates to introducing certain elementary operators defined in the unit disk in the complex plane, then determining various applications (specified by those operators) to certain analytic functions, and also revealing a number of possible implications of them.</p></abstract>

This scientific note relates to introducing certain elementary operators defined in the unit disk in the complex plane, then determining various applications (specified by those operators) to certain analytic functions, and also revealing a number of possible implications of them.

A note on some elementary properties and applications of certain operators to certain functions analytic in the unit disk

Faculty of Science, Department of Mathematics

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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

This scientific note relates to introducing certain elementary operators defined in the unit disk in the complex plane, then determining various applications...

A note on some elementary properties and applications of certain operators to certain functions analytic in the unit disk

Published Online: Dec 31, 2020

Page range: 193 - 201

Received: Mar 30, 2020

Accepted: Jul 01, 2020

DOI: https://doi.org/10.2478/aupcsm-2020-0014

Keywords
fractional calculus, unit open disk, complex plane, analytic functions, normalized functions, Taylor-Mclaurin series expansion, the Tremblay operator, fractional derivative operator, differential inequalities in the complex plane

© 2020 Hüseyin Irmak, published by Sciendo

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

A note on some elementary properties and applications of certain operators to certain functions analytic in the unit disk

Published Online: Dec 31, 2020

Page range: 193 - 201

Received: Mar 30, 2020

Accepted: Jul 01, 2020

DOI: https://doi.org/10.2478/aupcsm-2020-0014

Keywordsfractional calculus, unit open disk, complex plane, analytic functions, normalized functions, Taylor-Mclaurin series expansion, the Tremblay operator, fractional derivative operator, differential inequalities in the complex plane

© 2020 Hüseyin Irmak, published by Sciendo

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

Keywords
fractional calculus, unit open disk, complex plane, analytic functions, normalized functions, Taylor-Mclaurin series expansion, the Tremblay operator, fractional derivative operator, differential inequalities in the complex plane