The perimeter generating function of punctured staircase polygons
Statistical Mechanics
2009-11-11 v1
Abstract
Using a simple transfer matrix approach we have derived very long series expansions for the perimeter generating function of punctured staircase polygons (staircase polygons with a single internal staircase hole). 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.
Cite
@article{arxiv.cond-mat/0603833,
title = {The perimeter generating function of punctured staircase polygons},
author = {Anthony J. Guttmann and Iwan Jensen},
journal= {arXiv preprint arXiv:cond-mat/0603833},
year = {2009}
}
Comments
14 pages, 2 figures, IOP style