Legendre-type relations for generalized complete elliptic integrals
type: Item
instance of: scholarly article
title: Legendre-type relations for generalized complete elliptic integrals
zbMATH Open document ID: 1424.33034
author: Shingo Takeuchi
published in: Journal of Classical Analysis
publication date: 2019-03-05T00:00:00Z
full work available at URL: https://arxiv.org/abs/1606.05115
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 33C75
Mathematics Subject Classification ID: 34L10
zbMATH DE Number: 7032241
zbMATH Keywords: Legendre's relation
zbMATH Keywords: complete elliptic integrals
zbMATH Keywords: generalized trigonometric functions
zbMATH Keywords: Elliott's identity
MaRDI profile type: Publication
OpenAlex ID: W2441489216
arXiv ID: 1606.05115
cites work: Generalized elliptic integrals and modular equations
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cites work: Q4271269
cites work: Q3329741
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cites work: Generalized Jacobian elliptic functions and their application to bifurcation problems associated with \(p\)-Laplacian
cites work: The basis property of generalized Jacobian elliptic functions
cites work: A new form of the generalized complete elliptic integrals
cites work: Inequalities for the generalized trigonometric and hyperbolic functions with two parameters
DOI: 10.7153/JCA-09-04
describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 7032241