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.
| Original language | English |
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| Pages (from-to) | 3871-3882 |
| Number of pages | 12 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 39 |
| Issue number | 15 |
| DOIs | |
| Publication status | Published - 14 Apr 2006 |
| Externally published | Yes |