Fuchsian differential equation for the perimeter generating function of three-choice polygons
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Using 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.
13 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
13 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