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2006 J. Phys. A: Math. Gen. 39 3871-3882 doi: 10.1088/0305-4470/39/15/002
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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.
PACS numbers: 05.50.+q, 05.70.Jk, 02.10.Ox
Print publication: Issue 15 (14 April 2006) |
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