Fuchsian differential equation for the perimeter generating function of three-choice polygons
组合数学
2007-05-23 v2 统计力学
摘要
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.
引用
@article{arxiv.math/0506317,
title = {Fuchsian differential equation for the perimeter generating function of three-choice polygons},
author = {Anthony J. Guttmann and Iwan Jensen},
journal= {arXiv preprint arXiv:math/0506317},
year = {2007}
}
备注
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