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MONOTONICITY AND INEQUALITIES INVOLVING ZERO-BALANCED HYPERGEOMETRIC FUNCTION

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成果类型:
期刊论文
作者:
Wang, Miao-Kun;Chu, Yu-Ming*;Zhang, Wen
通讯作者:
Chu, Yu-Ming
作者机构:
[Wang, Miao-Kun] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.
[Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.
[Zhang, Wen] Icahn Sch Med Mt Sinai, Friedman Brain Inst, New York, NY 10029 USA.
通讯机构:
[Chu, Yu-Ming] H
Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.
语种:
英文
关键词:
Gaussian hypergeometric function;generalized elliptic integral;monotonicity;inequality
期刊:
MATHEMATICAL INEQUALITIES & APPLICATIONS
ISSN:
1331-4343
年:
2019
卷:
22
期:
2
页码:
601-617
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11701176, 11626101, 11601485]; Science and Technology Research Program of Zhejiang Educational Committee [Y201635325]
机构署名:
本校为第一机构
院系归属:
理学院
摘要:
In the article, we present a monotonicity property involving the zero-balanced hypergeometric function F(a,b;a+b;x) for all a,b > 0, and establish several sharp inequalities for F(a,b;a+b;x) in the first quadrant of ab-plane, which are the generalizations of the previously results. © 2...

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