Solution to a conjecture on the Legendre M-function with an application to the generalized modulus

被引：8

作者：

Zhang, Xiaohui ^{[1
]}

机构：

[1] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 431卷 / 02期

关键词：

Hypergeometric function; Legendre M-function; Generalized modulus; ELLIPTIC INTEGRALS;

D O I：

10.1016/j.jmaa.2015.06.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we give a solution to a conjecture on the Legendre M-function proposed by Heikkala, Linden, Vamanamurthy and Vuorinen in the paper Heikkala et al. (2008) [5]. As an application of this result, we obtain a functional inequality of the generalized modulus. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：1190 / 1196

页数：7

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