Generalized Hersch-Pfluger distortion function and complete elliptic integrals
type: Item
instance of: scholarly article
title: Generalized Hersch-Pfluger distortion function and complete elliptic integrals
zbMATH Open document ID: 1229.33024
author: Miao-Kun Wang
author: Song-Liang Qiu
author: Yu-Ming Chu
author: Yue-Ping Jiang
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-10-24T00:00:00Z
review text: The main purpose of this paper is to study the relationship between the generalized Hersch-Pfluger distortion function \(\varphi_{K}^{a}(r)\) and complete elliptic integrals of the second kind \({\mathcal E} (r)\), and to establish several new inequalities for \(\varphi_{K}^{a}(r)\) and \({\mathcal E} (r)\).
reviewed by: Nele De Schepper
Mathematics Subject Classification ID: 33C75
Mathematics Subject Classification ID: 33C20
zbMATH DE Number: 5962602
zbMATH Keywords: Gaussian hypergeometric function
zbMATH Keywords: elliptic integrals
zbMATH Keywords: generalized Hersch-Pfluger distortion function
zbMATH Keywords: generalized modular equation
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.06.039
OpenAlex ID: W2048623389
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DOI: 10.1016/J.JMAA.2011.06.039
describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 5962602