Inequalities for the generalized elliptic integrals and modular functions
type: Item
instance of: scholarly article
title: Inequalities for the generalized elliptic integrals and modular functions
zbMATH Open document ID: 1122.33007
author: Yu-Ming Chu
author: Gendi Wang
author: Xiaohui Zhang
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-04-26T00:00:00Z
review text: Sharp inequalities for the Ramanujan's generalized modular functions are proved by using monotonicity and convexity of the generalized elliptic integrals. The authors study in details these properties of elliptic integrals and modular functions from a different point of view, developing Ramanujan's ideas in these topics. In particular, the authors apply the so-called monotone form of L'Hopital's rule. This approach allows to obtain some sharp inequalities for modular functions.
Mathematics Subject Classification ID: 33C75
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 33E05
zbMATH DE Number: 5146739
zbMATH Keywords: Gaussian hypergeometric functions
reviewed by: S. Yakubovich
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.09.070
OpenAlex ID: W2095090348
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DOI: 10.1016/J.JMAA.2006.09.070
description: scientific article; zbMATH DE number 5146739