Fuchsian differential equation for the perimeter generating function of three-choice polygons

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dc.creatorGuttmann, Anthony J.
dc.creatorJensen, Iwan
dc.date2005-06-16
dc.date2005-09-15
dc.date.accessioned2026-07-07T06:30:39Z
dc.date.available2026-07-07T06:30:39Z
dc.descriptionUsing a simple transfer matrix approach we have derived very long series expansions for the perimeter generating function of three-choice polygons. We find that all the terms in the generating function can be reproduced from a linear Fuchsian differential equation of order 8. We perform an analysis of the properties of the differential equation.
dc.description13 pages, 2 figures, talk presented in honour of X. Viennot at Seminaire Lotharengien, Lucelle, France, April 3-6 2005. Paper amended and sligtly expanded after refereeing
dc.identifierhttps://arxiv.org/abs/math/0506317
dc.identifierhttp://arxiv.org/abs/math/0506317
dc.identifierSeminaire Lotharingien de Combinatoire 54, Article B54c (2006)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98393
dc.subjectCombinatorics
dc.subjectStatistical Mechanics
dc.subject05A15
dc.titleFuchsian differential equation for the perimeter generating function of three-choice polygons
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