A Generalization of Landen's Quadratic Transformation Formulas for Jacobi Elliptic Functions

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dc.creatorKhare, Avinash
dc.creatorSukhatme, Uday
dc.date2002-04-30
dc.date.accessioned2026-07-07T04:29:10Z
dc.date.available2026-07-07T04:29:10Z
dc.descriptionLanden formulas, which connect Jacobi elliptic functions with different modulus parameters, were first obtained over two hundred years ago by making a suitable quadratic transformation of variables in elliptic integrals. We obtain and discuss significant generalizations of the celebrated Landen formulas. Our approach is based on some recently obtained periodic solutions of physically interesting nonlinear differential equations and numerous remarkable new cyclic identities involving Jacobi elliptic functions.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0204054
dc.identifierhttp://arxiv.org/abs/math-ph/0204054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57056
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleA Generalization of Landen's Quadratic Transformation Formulas for Jacobi Elliptic Functions
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