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

<p>In this scientific research note, certain necessary-basic information in relation to some types of the operators specified by fractional calculus of arbitrary order will be firstly introduced, various argument properties of certain analytic functions specified by those fractional-order type operators will be then determined, and a number of special consequences of those extensive properties will be also pointed out.</p>
</abstract>

In this scientific research note, certain necessary-basic information in relation to some types of the operators specified by fractional calculus of arbitrary order will be firstly introduced, various argument properties of certain analytic functions specified by those fractional-order type operators will be then determined, and a number of special consequences of those extensive properties will be also pointed out.

Various fractional-order type operators and some of their implications to certain normalized functions analytic in the open unit disc

Faculty of Science Department of Mathematics

General Mathematics

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

In this scientific research note, certain necessary-basic information in relation to some types of the operators specified by fractional calculus of arbitrary...

Various fractional-order type operators and some of their implications to certain normalized functions analytic in the open unit disc

Publié en ligne: 24 nov. 2023

Pages: 11 - 20

Reçu: 04 déc. 2021

Accepté: 09 juil. 2023

DOI: https://doi.org/10.2478/gm-2023-0002

Mots clés
Complex plane, domains, normalized analytic functions, fractional calculus of arbitrary order, integral transforms, operators, argument properties

© 2023 Hüseyin Irmak, published by Sciendo

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

Various fractional-order type operators and some of their implications to certain normalized functions analytic in the open unit disc

Publié en ligne: 24 nov. 2023

Pages: 11 - 20

Reçu: 04 déc. 2021

Accepté: 09 juil. 2023

DOI: https://doi.org/10.2478/gm-2023-0002

Mots clésComplex plane, domains, normalized analytic functions, fractional calculus of arbitrary order, integral transforms, operators, argument properties

© 2023 Hüseyin Irmak, published by Sciendo

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

Mots clés
Complex plane, domains, normalized analytic functions, fractional calculus of arbitrary order, integral transforms, operators, argument properties