Bi-Concave Functions Connected with the Combination of the Binomial Series and the Confluent Hypergeometric Function-Reference-Cited by-同舟云学术

Bi-Concave Functions Connected with the Combination of the Binomial Series and the Confluent Hypergeometric Function

Published:2024-02-13 Issue:2 Volume:16 Page:226
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Srivastava Hari M.¹²³⁴⁵⁶^ORCID,El-Deeb Sheza M.⁷⁸^ORCID,Breaz Daniel⁹,Cotîrlă Luminita-Ioana¹⁰^ORCID,Sălăgean Grigore Stefan¹¹

Affiliation:

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

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

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

4. Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, Taoyuan City 320314, Taiwan

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

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

7. Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia

8. Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

9. Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, RO-510009 Alba Iulia, Romania

10. Department of Mathematics, Technical University of Cluj-Napoca, RO-400114 Cluj-Napoca, Romania

11. Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, RO-400084 Cluj-Napoca, Romania

Abstract

In this article, we first define and then propose to systematically study some new subclasses of the class of analytic and bi-concave functions in the open unit disk. For this purpose, we make use of a combination of the binomial series and the confluent hypergeometric function. Among some other properties and results, we derive the estimates on the initial Taylor-Maclaurin coefficients |a2| and |a3| for functions in these analytic and bi-concave function classes, which are introduced in this paper. We also derive a number of corollaries and consequences of our main results in this paper.

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/2/226/pdf

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