Inequalities for the generalized elliptic integrals and modular functions

被引：31

作者：

Wang Gendi ^{[1
]}

Zhang Xiaohui ^{[1
]}

Chu Yuming ^{[1
]}

机构：

[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 331卷 / 02期

关键词：

generalized elliptic integrals; generalized Grotzsch function; generalized modular functions;

D O I：

10.1016/j.jmaa.2006.09.070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors study monotonicity and convexity of the generalized elliptic integrals and certain combinations of these special functions, such as m(a)(r) and mu(a)(r). Making use of these results, the authors obtain some sharp inequalities for the so-called Ramanujan's generalized modular functions. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1275 / 1283

页数：9

共 24 条

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