The perimeter generating function of punctured staircase polygons
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.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 April 2006
 DOI:
 10.1088/03054470/39/15/002
 arXiv:
 arXiv:condmat/0603833
 Bibcode:
 2006JPhA...39.3871G
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 14 pages, 2 figures, IOP style