MONOTONICITY AND INEQUALITIES INVOLVING ZERO-BALANCED HYPERGEOMETRIC FUNCTION

Wang Miao-Kun; Chu Yu-Ming; Zhang Wen

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MONOTONICITY AND INEQUALITIES INVOLVING ZERO-BALANCED HYPERGEOMETRIC FUNCTION

机译：涉及零平衡超细函数的单调性和不等式

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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.

机译：在文章中，我们介绍了所有A，B> 0的零平衡过度函数f（a，b; a + b; x）的单调性财产，并为f（a，b; a + b）建立几个急剧不等式 ; x）在AB平面的第一象限中，这是先前结果的概括。

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来源
《Mathematical inequalities & applications》 |2019年第2期|共17页
作者
Wang Miao-Kun; Chu Yu-Ming; Zhang Wen;
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作者单位

Hunan City Univ Coll Sci Yiyang 413000 Peoples R China;

Huzhou Univ Dept Math Huzhou 313000 Peoples R China;

Icahn Sch Med Mt Sinai Friedman Brain Inst New York NY 10029 USA;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Gaussian hypergeometric function; generalized elliptic integral; monotonicity; inequality;

机译：高斯长度函数;广义椭圆形积分;单调性;不平等;

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专利

1. MONOTONICITY AND INEQUALITIES INVOLVING ZERO-BALANCED HYPERGEOMETRIC FUNCTION [J] . Wang Miao-Kun, Chu Yu-Ming, Zhang Wen Mathematical inequalities & applications . 2019,第2期

机译：涉及零平衡超细函数的单调性和不等式
2. INEQUALITIES FOR ZERO-BALANCED GAUSSIAN HYPERGEOMETRIC FUNCTIONS [J] . Huang Ti Ren, Ma Xiao Yan, Zhang Xiao Hui Mathematical inequalities & applications . 2017,第4期

机译：零平衡高斯超高度函数的不等式
3. REFINEMENTS OF TRANSFORMATION INEQUALITIES FOR ZERO-BALANCED HYPERGEOMETRIC FUNCTIONS [J] . Miaokun WANG, Yuming CHU 数学物理学报（英文版） . 2017,第003期

机译：零平衡超几何函数的变换不等式的改进
4. Hermite-Hadamard inequalities involving the Gauss hypergeometric function [C] . Mehmet Zeki Sarikaya International Eurasian Conference on Mathematical Sciences and Applications . 2018

机译：Hermite-Hadamard不等式涉及高斯超高度函数
5. Integer ratios of factorials, hypergeometric functions, and related step functions. [D] . Bober, Jonathan William. 2009

机译：阶乘，超几何函数和相关阶跃函数的整数比。
6. Inequalities involving hypergeometric and related functions [O] . Siegfried H. Lehnigk -1

机译：涉及超几何和相关函数的不等式
7. A note on inequalities for the ratio of zero-balanced hypergeometric functions [O] . Kendall Richards 2019

机译：关于零平衡超距离函数比例的不等式的说明
8. Inequalities for Generalized Hypergeometric Functions [R] . Luke, Y. L. 1970

机译：广义超几何函数的不等式

MONOTONICITY AND INEQUALITIES INVOLVING ZERO-BALANCED HYPERGEOMETRIC FUNCTION

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