MONOTONICITY AND INEQUALITIES INVOLVING ZERO-BALANCED HYPERGEOMETRIC FUNCTION

被引：88

作者：

Wang, Miao-Kun ^{[1
]}

Chu, Yu-Ming ^{[2
]}

Zhang, Wen ^{[3
]}

机构：

[1] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China

[2] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

[3] Icahn Sch Med Mt Sinai, Friedman Brain Inst, New York, NY 10029 USA

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2019年 / 22卷 / 02期

关键词：

Gaussian hypergeometric function; generalized elliptic integral; monotonicity; inequality; COMPLETE ELLIPTIC INTEGRALS; SCHUR CONVEXITY; SHARP BOUNDS; TRANSFORMATION INEQUALITIES; HARMONIC CONVEXITIES; LANDEN INEQUALITIES; GAMMA FUNCTION; CONCAVITY; RESPECT; QUOTIENT;

D O I：

10.7153/mia-2019-22-42

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：601 / 617

页数：17

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