Monotonicity of three kinds of functions involving the Gaussian hypergeometric function

被引：1

作者：

Mao, Zhong-Xuan ^{[1
,2
]}

Tian, Jing-Feng ^{[2
]}

机构：

[1] Jilin Univ, Sch Math, Qianjin St 2699, Changchun 130012, Peoples R China

[2] North China Elect Power Univ, Dept Math & Phys, Hebei Key Lab Phys & Energy Technol, Yonghua St 619, Baoding 071003, Peoples R China

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2023年 / 30卷 / 04期

关键词：

Gaussian hypergeometric function; monotonicity rules; power series; INEQUALITIES;

D O I：

10.36045/j.bbms.230913

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using monotonicity rules, we establish the monotonicity of three kinds of functions involving the Gaussian hypergeometric function. This refines some existing results. We also present some bounds for the zero-balance Gaussian hypergeometric function.

引用

页码：532 / 547

页数：16

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