_10E_9 solution to the elliptic Painlev'e equation

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dc.creatorKajiwara, Kenji
dc.creatorNoumi, Masatoshi
dc.creatorMasuda, Tetsu
dc.creatorOhta, Yasuhiro
dc.creatorYamada, Yasuhiko
dc.date2003-03-18
dc.date.accessioned2026-07-07T05:34:36Z
dc.date.available2026-07-07T05:34:36Z
dc.descriptionA $τ$ function formalism for Sakai's elliptic Painlev'e equation is presented. This establishes the equivalence between the two formulations by Sakai and by Ohta-Ramani-Grammaticos. We also give a simple geometric description of the elliptic Painlev'e equation as a non-autonomous deformation of the addition formula on elliptic curves. By using these formulations, we construct a particular solution of the elliptic Painlev'e equation expressed in terms of the elliptic hypergeometric function_10E_9.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/nlin/0303032
dc.identifierhttp://arxiv.org/abs/nlin/0303032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80433
dc.subjectExactly Solvable and Integrable Systems
dc.subjectQuantum Algebra
dc.title_10E_9 solution to the elliptic Painlev'e equation
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