CONTINUED FRACTION EXPRESSION OF THE MATHIEU SERIES

被引：1

作者：

Cao, Xiaodong ^{[1
]}

Tanigawa, Yoshio ^{[2
]}

Zhai, Wenguang ^{[3
]}

机构：

[1] Beijing Inst Petrochem Technol, Dept Math & Phys, Beijing 102617, Peoples R China

[2] Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan

[3] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2016年 / 19卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Continued fraction; Mathieu series; inequality; asymptotic expansion; MULTIPLE-CORRECTION; APPROXIMATION; INEQUALITY;

D O I：

10.7153/mia-19-77

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we represent a continued fraction expression of the Mathieu series by a continued fraction formula of Ramanujan. As applications, we obtain some new bounds for the Mathieu series.

引用

页码：1039 / 1048

页数：10

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