@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 Co. Pte Ltd",

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",

}