The perimeter generating function of punctured staircase polygons
arXiv:cond-mat/0603833 · doi:10.1088/0305-4470/39/15/002
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.
14 pages, 2 figures, IOP style