The perimeter generating function of punctured staircase polygons

Details The perimeter generating function of punctured staircase polygons The perimeter generating function of punctured staircase polygons

2006-03-31

arxiv.org/abs/cond-mat/0603833v1

J. Phys. A 39, 3871-3882 (2006)

Physics

Condensed Matter

Statistical Mechanics

14 pages, 2 figures, IOP style

Scientific paper

10.1088/0305-4470/39/15/002

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.

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