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 (305.3 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

Monotonicity, convexity properties and inequalities involving Gaussian hypergeometric functions with applications

Ye-Cong Han1, Chuan-Yu Cai2, Ti-Ren Huang1( )
Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China
Zhejiang Technical Institute of Economics, Hangzhou 310018, China
Show Author Information

Abstract

In this paper, we mainly prove monotonicity and convexity properties of certain functions involving zero-balanced Gaussian hypergeometric function F ( a , b ; a + b ; x ). We generalize conclusions of elliptic integral to Gaussian hypergeometric function, and get some accurate inequalities about Gaussian hypergeometric function.

Keywords

Gaussian hypergeometric functionmonotonicityconvexity
CLC number: 33C05, 33E05

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 4974-4991
DOI: 10.3934/math.2022277

{{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:
Han Y-C, Cai C-Y, Huang T-R. Monotonicity, convexity properties and inequalities involving Gaussian hypergeometric functions with applications. AIMS Mathematics, 2022, 7(4): 4974-4991. https://doi.org/10.3934/math.2022277

1

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 12 September 2021
Revised: 19 December 2021
Accepted: 21 December 2021
Published: 15 April 2022
©2022 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)