Landen transformations and the integration of rational functions

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dc.creatorBoros, George
dc.creatorMoll, Victor H.
dc.date2007-07-26
dc.date.accessioned2026-07-07T08:20:28Z
dc.date.available2026-07-07T08:20:28Z
dc.descriptionWe present a rational version of the classical Landen transformation for elliptic integrals. This is employed to obtain explicit closed-form expressions for a large class of integrals of even rational functions and to develop an algorithm for the numerical integration of these functions.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0707.3910
dc.identifierhttp://arxiv.org/abs/0707.3910
dc.identifierMath. Comp. 71, 2002, 649-668
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135081
dc.subjectClassical Analysis and ODEs
dc.subject33E05
dc.titleLanden transformations and the integration of rational functions
dc.typetext

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