Applications of Some Subclasses of Meromorphic Functions Associated with the q-Derivatives of the q-Binomials-Reference-Cited by-同舟云学术

Applications of Some Subclasses of Meromorphic Functions Associated with the q-Derivatives of the q-Binomials

Published:2023-05-29 Issue:11 Volume:11 Page:2496
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Ali Ekram E.¹²^ORCID,Srivastava Hari M.³⁴⁵⁶⁷^ORCID,Lashin Abdel Moneim Y.⁸⁹^ORCID,Albalahi Abeer M.¹^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia

2. Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42521, Egypt

3. Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada

4. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

5. Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea

6. Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan

7. Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy

8. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

9. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Abstract

In this article, we make use of the q-binomial theorem to introduce and study two new subclasses ℵ(αq,q) and ℵ(α,q) of meromorphic functions in the open unit disk U, that is, analytic functions in the punctured unit disk U∗=U\{0}={z:z∈Cand0<z<1}. We derive inclusion relations and investigate an integral operator that preserves functions which belong to these function classes. In addition, we establish a strict inequality involving a certain linear convolution operator which we introduce in this article. Several special cases and corollaries of our main results are also considered.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/11/2496/pdf

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