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.
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页码：1190 / 1196
页数：7
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