<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The aim of this paper is to present background information in relation with some fractional-order type operators in the complex plane, which is designed by the fractional-order derivative operator(s). Next we state various implications of that operator and then we show some interesting-special results of those applications.</p>
</abstract>

The aim of this paper is to present background information in relation with some fractional-order type operators in the complex plane, which is designed by the fractional-order derivative operator(s). Next we state various implications of that operator and then we show some interesting-special results of those applications.

An extensive note on various fractional-order type operators and some of their effects to certain holomorphic functions

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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

The aim of this paper is to present background information in relation with some fractional-order type operators in the complex plane, which is designed by the...

An extensive note on various fractional-order type operators and some of their effects to certain holomorphic functions

Published Online: Mar 03, 2022

Page range: 7 - 15

Received: Oct 21, 2021

Accepted: Dec 29, 2021

DOI: https://doi.org/10.2478/aupcsm-2022-0001

Keywords
complex plane, holomorphic function, series expansion, fractional-order calculus, operators in certain domains, argument properties

© 2022 Hüseyin Irmak, published by Sciendo

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

An extensive note on various fractional-order type operators and some of their effects to certain holomorphic functions

Published Online: Mar 03, 2022

Page range: 7 - 15

Received: Oct 21, 2021

Accepted: Dec 29, 2021

DOI: https://doi.org/10.2478/aupcsm-2022-0001

Keywordscomplex plane, holomorphic function, series expansion, fractional-order calculus, operators in certain domains, argument properties

© 2022 Hüseyin Irmak, published by Sciendo

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

Keywords
complex plane, holomorphic function, series expansion, fractional-order calculus, operators in certain domains, argument properties