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

Hüseyin Irmak

doi:10.2478/aupcsm-2020-0014

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

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 19 (2020): Issue 1 (December 2020)

By: Hüseyin Irmak

Open Access

|Dec 2020

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/aupcsm-2020-0014 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 193 - 201

Submitted on: Mar 30, 2020

Accepted on: Jul 1, 2020

Published on: Dec 31, 2020

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

normalized functions,

Taylor-Mclaurin series expansion,

the Tremblay operator,

fractional derivative operator,

differential inequalities in the complex plane

Related subjects:

Mathematics,

General mathematics

© 2020 Hüseyin Irmak, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

Volume 19 (2020): Issue 1 (December 2020)