AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (298.1 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

First-order differential subordinations associated with Carathéodory functions

Inhwa Kim1, Young Jae Sim2, Nak Eun Cho3( )
Anheuser-Bush School of Business, Harris-Stowe State University, St. Louis, MO 63103, USA
Department of Artificial Intelligence and Mathematics, Kyungsung University, Busan 48434, Korea
Department of Applied Mathematics, Pukyong National University, Busan 48513, Korea
Show Author Information

Abstract

In the present paper, we investigated some conditions to be in the class of Carathéodory functions by using the concept of the first-order differential subordinations. Moreover, various interesting special cases were considered in the geometric function theory as applications of main results presented here.

Keywords

differential subordinationCarathéodory functionunivalent functionstarlike function of order alphastrongly starlike function
CLC number: 30C45, 30C80

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 3,
March 2024
Pages 5466-5479
DOI: 10.3934/math.2024264

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Kim I, Sim YJ, Cho NE. First-order differential subordinations associated with Carathéodory functions. AIMS Mathematics, 2024, 9(3): 5466-5479. https://doi.org/10.3934/math.2024264

153

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 13 November 2023
Revised: 08 January 2024
Accepted: 09 January 2024
Published: 15 March 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)