A GEOMETRIC VIEW OF RATIONAL LANDEN TRANSFORMATIONS

DOI10.1112/S0024609303001930zbMath1029.33012arXivmath/0308233OpenAlexW2040550259MaRDI QIDQ4418925

Victor H. Moll, John H. Hubbard

Publication date: 9 February 2004

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308233

zbMATH Keywords

elliptic integralsgeometric interpretationLanden transformationrational Landen transformation

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Analytic theory of abelian varieties; abelian integrals and differentials (14K20)

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Rational Landen transformations on $\mathbb{R}$ ⋮ A formula for a quartic integral: a survey of old proofs and some new ones

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