Certain basic information related to the Tremblay operator and some applications in connection therewith

Hüseyin Irmak

doi:10.2478/gm-2019-0011

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Certain basic information related to the Tremblay operator and some applications in connection therewith

General Mathematics

Volume 27 (2019): Issue 2 (December 2019)

By: Hüseyin Irmak

Open Access

|Mar 2020

Abstract

In this scientific note, an operator, which is the well-known Tremblay operator in the literature, is first introduced and some of its applications to certain analytic complex functions, which are normalized and analytic in the open unit disk, are then determined. In addition, certain special results of the related applications are also emphasized.

References

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Articles in this issue

DOI: https://doi.org/10.2478/gm-2019-0011 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 13 - 21

Submitted on: May 18, 2019

Accepted on: Dec 16, 2019

Published on: Mar 20, 2020

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Complex plane,

Domain in the complex plane,

Normalized analytic function,

Fractional calculus,

the Tremblay operator,

Equations and inequalities in the complex plane

Related subjects:

Mathematics,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2020 Hüseyin Irmak, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 27 (2019): Issue 2 (December 2019)