On some refinements for inequalities involving zero-balanced hypergeometric function

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成果类型：

期刊论文

作者：

Zhao, Tie-Hong;He, Zai-Yin;Chu, Yu-Ming*

通讯作者：

Chu, Yu-Ming

作者机构：

[Zhao, Tie-Hong] Hangzhou Normal Univ, Dept Math, Hangzhou 311121, Peoples R China.

[He, Zai-Yin] Hunan Univ, Sch Math, Changsha 410082, Hunan, Peoples R China.

[Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.

[Chu, Yu-Ming] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.

通讯机构：

[Chu, Yu-Ming] H

[Chu, Yu-Ming] C

Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.

Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.

语种：

英文

关键词：

Complete elliptic integral;Gaussian hypergeometric function;Generalized elliptic integral;Zero-balanced

期刊：

AIMS Mathematics

ISSN：

2473-6988

年：

2020

卷：

期：

页码：

6479-6495

DOI：

10.3934/math.2020418

基金类别：

National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11971142, 61673169, 11701176, 11871202]; Natural Science Foundation of Zhejiang ProvinceNatural Science Foundation of Zhejiang Province [LY19A010012]

机构署名：

本校为通讯机构

摘要：

In the article, we present an elegant double inequality for the ratio of the zero-balanced hypergeometric functions, which improve and refine some previously known results and also give a positive answer the question by proposed by Ismail. © 2020 the A...

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On some refinements for inequalities involving zero-balanced hypergeometric function

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