Monotonicity of Three Classes of Functions Involving Modified Bessel Functions of the Second Kind

被引：6

作者：

Mao, Zhong-Xuan ^{[1
]}

Tian, Jing-Feng ^{[1
]}

机构：

[1] 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 IRANIAN MATHEMATICAL SOCIETY | 2023年 / 49卷 / 05期

关键词：

Modified Bessel functions of the second kind; Monotonicity; Monotonicity rules; Airy function; CONVEXITY; RATIO;

D O I：

10.1007/s41980-023-00821-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we determine the monotonicity of three classes of functions involving modified Bessel functions of the second kind. We also presented some inequalities and bounds for modified Bessel functions of the second kind. In particular, our results derive bounds for the Airy function and its derivative.

引用

页数：25

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