@inproceedings{bd597331197946cabadad829a02506d2,
title = "Exact solution of two planar polygon models",
abstract = "Using a simple transfer matrix approach we have derived long series expansions for the perimeter generating functions of both three-choice polygons and punctured staircase polygons. In both cases we find that all the known terms in the generating function can be reproduced from a linear Fuchsian differential equation of order 8. We report on an analysis of the properties of the differential equations.",
author = "Guttmann, {Anthony J.} and Iwan Jensen",
year = "2006",
month = jan,
day = "1",
language = "English",
isbn = "9812703772",
volume = "10",
series = "Nankai Tracts in Mathematics; Differential Geometry and Physics - Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, DGMTP 2005",
publisher = "World Scientific Publishing",
pages = "221--231",
editor = "Mo-Kub Ge and Weiping Zhang",
booktitle = "Nankai Tracts in Mathematics; Differential Geometry and Physics - Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics",
note = "23rd International Conference on Differential Geometric Methods in Theoretical Physics, DGMTP 2005 ; Conference date: 20-08-2005 Through 26-08-2005",
}