MONOTONICITY PROPERTIES AND BOUNDS INVOLVING THE COMPLETE ELLIPTIC INTEGRALS OF THE FIRST KIND

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成果类型：

期刊论文

作者：

Yang, Zhen-Hang*;Qian, Wei-Mao;Chu, Yu-Ming

通讯作者：

Yang, Zhen-Hang

作者机构：

[Yang, Zhen-Hang] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.

[Yang, Zhen-Hang] State Grid Zhejiang Elect Power Res Inst, Customer Serv Ctr, Hangzhou 310009, Zhejiang, Peoples R China.

[Qian, Wei-Mao] Huzhou Broadcast & TV Univ, Sch Distance Educ, Huzhou 313000, Peoples R China.

[Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.

通讯机构：

[Yang, Zhen-Hang] H

[Yang, Zhen-Hang] S

Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.

State Grid Zhejiang Elect Power Res Inst, Customer Serv Ctr, Hangzhou 310009, Zhejiang, Peoples R China.

语种：

英文

关键词：

Complete elliptic integral;Gaussian hypergeometric function;arithmetic-geometric mean

期刊：

MATHEMATICAL INEQUALITIES & APPLICATIONS

ISSN：

1331-4343

年：

2018

卷：

期：

页码：

1185-1199

DOI：

10.7153/mia-2018-21-82

基金类别：

Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61673169, 11601485, 11701176]

机构署名：

本校为第一且通讯机构

摘要：

In the article, we establish several monotonicity properties of the functions involving the complete elliptic integral of the first kind. As applications, we present sharp bounds for the complete elliptic integral of the first kind and the arithmetic-geometric mean. © 2...

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