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

Hüseyin Irmak

doi:10.2478/gm-2023-0002

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

General Mathematics

Volume 31 (2023): Issue 1 (June 2023)

By: Hüseyin Irmak

Open Access

|Nov 2023

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.

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Articles in this issue

DOI: https://doi.org/10.2478/gm-2023-0002 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 11 - 20

Submitted on: Dec 4, 2021

Accepted on: Jul 9, 2023

Published on: Nov 24, 2023

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Complex plane,

domains,

normalized analytic functions,

fractional calculus of arbitrary order,

Related subjects:

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2023 Hüseyin Irmak, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 31 (2023): Issue 1 (June 2023)